815400960 has 384 divisors, whose sum is σ = 3019161600. Its totient is φ = 185794560.

The previous prime is 815400947. The next prime is 815400961. The reversal of 815400960 is 69004518.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×815400960³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (815400961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6420417 + ... + 6420543.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^815400960 is an apocalyptic number.

815400960 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 815400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

815400960 is an abundant number, since it is smaller than the sum of its proper divisors (2203760640).

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

815400960 is a wasteful number, since it uses less digits than its factorization.

815400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 815400960 is about 28555.2264918351. The cubic root of 815400960 is about 934.2370204267.

The spelling of 815400960 in words is "eight hundred fifteen million, four hundred thousand, nine hundred sixty".