79296800400 has 90 divisors (see below), whose sum is σ = 275181936770. Its totient is φ = 21145812480.

The previous prime is 79296800399. The next prime is 79296800413. The reversal of 79296800400 is 400869297.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9607136256 + 69689664144 = 98016^2 + 263988^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11009845 + ... + 11017044.

Almost surely, 2^79296800400 is an apocalyptic number.

It is an amenable number.

79296800400 is an abundant number, since it is smaller than the sum of its proper divisors (195885136370).

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

79296800400 is a wasteful number, since it uses less digits than its factorization.

79296800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22026913 (or 22026899 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 79296800400 in words is "seventy-nine billion, two hundred ninety-six million, eight hundred thousand, four hundred".