79208640 has 168 divisors, whose sum is σ = 311444640. Its totient is φ = 18100224.

The previous prime is 79208557. The next prime is 79208669. The reversal of 79208640 is 4680297.

79208640 is a `hidden beast` number, since 7 + 9 + 2 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 79208595 and 79208604.

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, 18196 + ... + 22124.

Almost surely, 2^79208640 is an apocalyptic number.

79208640 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 79208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155722320).

79208640 is an abundant number, since it is smaller than the sum of its proper divisors (232236000).

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

79208640 is a wasteful number, since it uses less digits than its factorization.

79208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 79208640 is about 8899.9235951777. The cubic root of 79208640 is about 429.4614494481.

The spelling of 79208640 in words is "seventy-nine million, two hundred eight thousand, six hundred forty".