79408052460 has 576 divisors, whose sum is σ = 289771292160. Its totient is φ = 17889569280.

The previous prime is 79408052413. The next prime is 79408052461. The reversal of 79408052460 is 6425080497.

It is a happy number.

79408052460 is a `hidden beast` number, since 7 + 9 + 40 + 80 + 524 + 6 + 0 = 666.

It is a super-2 number, since 2×79408052460² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79408052461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116263279 + ... + 116263961.

It is an arithmetic number, because the mean of its divisors is an integer number (503075160).

Almost surely, 2^79408052460 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 79408052460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144885646080).

79408052460 is an abundant number, since it is smaller than the sum of its proper divisors (210363239700).

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

79408052460 is a wasteful number, since it uses less digits than its factorization.

79408052460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 79408052460 in words is "seventy-nine billion, four hundred eight million, fifty-two thousand, four hundred sixty".