79904807424 has 480 divisors, whose sum is σ = 260243343360. Its totient is φ = 24329797632.

The previous prime is 79904807399. The next prime is 79904807429. The reversal of 79904807424 is 42470840997.

It is a happy number.

79904807424 is a `hidden beast` number, since 7 + 9 + 90 + 480 + 74 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79904807429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205410622 + ... + 205411010.

It is an arithmetic number, because the mean of its divisors is an integer number (542173632).

Almost surely, 2^79904807424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79904807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130121671680).

79904807424 is an abundant number, since it is smaller than the sum of its proper divisors (180338535936).

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

79904807424 is a wasteful number, since it uses less digits than its factorization.

79904807424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 79904807424 in words is "seventy-nine billion, nine hundred four million, eight hundred seven thousand, four hundred twenty-four".