79599723840 has 1008 divisors, whose sum is σ = 355914179712. Its totient is φ = 16784216064.

The previous prime is 79599723829. The next prime is 79599723877. The reversal of 79599723840 is 4832799597.

79599723840 is a `hidden beast` number, since 7 + 9 + 599 + 7 + 2 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×79599723840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49532317 + ... + 49533923.

It is an arithmetic number, because the mean of its divisors is an integer number (353089464).

Almost surely, 2^79599723840 is an apocalyptic number.

79599723840 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 79599723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177957089856).

79599723840 is an abundant number, since it is smaller than the sum of its proper divisors (276314455872).

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

79599723840 is a wasteful number, since it uses less digits than its factorization.

79599723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 79599723840 in words is "seventy-nine billion, five hundred ninety-nine million, seven hundred twenty-three thousand, eight hundred forty".