79460640 has 144 divisors (see below), whose sum is σ = 309935808. Its totient is φ = 18160128.

The previous prime is 79460611. The next prime is 79460651. The reversal of 79460640 is 4606497.

79460640 is a `hidden beast` number, since 7 + 9 + 4 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 79460595 and 79460604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6139 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (2152332).

Almost surely, 2^79460640 is an apocalyptic number.

79460640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154967904).

79460640 is an abundant number, since it is smaller than the sum of its proper divisors (230475168).

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

79460640 is a wasteful number, since it uses less digits than its factorization.

79460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 79460640 is about 8914.0697776044. The cubic root of 79460640 is about 429.9164070423.

The spelling of 79460640 in words is "seventy-nine million, four hundred sixty thousand, six hundred forty".