79481705625 has 225 divisors, whose sum is σ = 173560253097. Its totient is φ = 36131508000.

The previous prime is 79481705623. The next prime is 79481705651. The reversal of 79481705625 is 52650718497.

The square root of 79481705625 is 281925.

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

79481705625 is a `hidden beast` number, since 7 + 9 + 4 + 8 + 1 + 7 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6231365721 + 73250339904 = 78939^2 + 270648^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 79481705625 - 2¹ = 79481705623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (79481705623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 444031786 + ... + 444031964.

Almost surely, 2^79481705625 is an apocalyptic number.

79481705625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

79481705625 is the 281925-th square number.

79481705625 is the 140963-rd centered octagonal number.

It is an amenable number.

79481705625 is an abundant number, since it is smaller than the sum of its proper divisors (94078547472).

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

79481705625 is an frugal number, since it uses more digits than its factorization.

79481705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 79481705625 in words is "seventy-nine billion, four hundred eighty-one million, seven hundred five thousand, six hundred twenty-five".