79653772900 has 135 divisors (see below), whose sum is σ = 188380225229. Its totient is φ = 29234512320.

The previous prime is 79653772871. The next prime is 79653772907. The reversal of 79653772900 is 927735697.

It is a happy number.

The square root of 79653772900 is 282230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 78152675364 + 1501097536 = 279558^2 + 38744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79653772907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 476968617 + ... + 476968783.

Almost surely, 2^79653772900 is an apocalyptic number.

79653772900 is the 282230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79653772900

79653772900 is an abundant number, since it is smaller than the sum of its proper divisors (108726452329).

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

79653772900 is an equidigital number, since it uses as much as digits as its factorization.

79653772900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 55.

The spelling of 79653772900 in words is "seventy-nine billion, six hundred fifty-three million, seven hundred seventy-two thousand, nine hundred".