815716400 has 120 divisors (see below), whose sum is σ = 2017684848. Its totient is φ = 316800000.

The previous prime is 815716399. The next prime is 815716409. The reversal of 815716400 is 4617518.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (815716409) 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 23 ways as a sum of consecutive naturals, for example, 2464235 + ... + 2464565.

Almost surely, 2^815716400 is an apocalyptic number.

815716400 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 815716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008842424).

815716400 is an abundant number, since it is smaller than the sum of its proper divisors (1201968448).

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

815716400 is a wasteful number, since it uses less digits than its factorization.

815716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 815716400 is about 28560.7492898908. The cubic root of 815716400 is about 934.3574755758.

The spelling of 815716400 in words is "eight hundred fifteen million, seven hundred sixteen thousand, four hundred".