79079144900 has 54 divisors (see below), whose sum is σ = 199618368138. Its totient is φ = 27112848000.

The previous prime is 79079144899. The next prime is 79079144941. The reversal of 79079144900 is 944197097.

It can be written as a sum of positive squares in 3 ways, for example, as 19201924 + 79059942976 = 4382^2 + 281176^2 .

It is a super-2 number, since 2×79079144900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8064401 + ... + 8074200.

It is an arithmetic number, because the mean of its divisors is an integer number (3696636447).

Almost surely, 2^79079144900 is an apocalyptic number.

79079144900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79079144900 is an abundant number, since it is smaller than the sum of its proper divisors (120539223238).

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

79079144900 is a wasteful number, since it uses less digits than its factorization.

79079144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138629 (or 16138615 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 50.

The spelling of 79079144900 in words is "seventy-nine billion, seventy-nine million, one hundred forty-four thousand, nine hundred".