815126400 has 576 divisors, whose sum is σ = 3314787840. Its totient is φ = 188928000.

The previous prime is 815126399. The next prime is 815126401. The reversal of 815126400 is 4621518.

815126400 is a `hidden beast` number, since 8 + 1 + 5 + 12 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (815126399) and next prime (815126401).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815126401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9820759 + ... + 9820841.

It is an arithmetic number, because the mean of its divisors is an integer number (5754840).

Almost surely, 2^815126400 is an apocalyptic number.

815126400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657393920).

815126400 is an abundant number, since it is smaller than the sum of its proper divisors (2499661440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

815126400 is a wasteful number, since it uses less digits than its factorization.

815126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 815126400 is about 28550.4185608548. The cubic root of 815126400 is about 934.1321505839.

Adding to 815126400 its reverse (4621518), we get a palindrome (819747918).

The spelling of 815126400 in words is "eight hundred fifteen million, one hundred twenty-six thousand, four hundred".