79220816640 has 1152 divisors, whose sum is σ = 337897728000. Its totient is φ = 17557585920.

The previous prime is 79220816627. The next prime is 79220816761. The reversal of 79220816640 is 4661802297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 486017199 + ... + 486017361.

It is an arithmetic number, because the mean of its divisors is an integer number (293314000).

Almost surely, 2^79220816640 is an apocalyptic number.

79220816640 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 79220816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168948864000).

79220816640 is an abundant number, since it is smaller than the sum of its proper divisors (258676911360).

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

79220816640 is a wasteful number, since it uses less digits than its factorization.

79220816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 79220816640 in words is "seventy-nine billion, two hundred twenty million, eight hundred sixteen thousand, six hundred forty".