79788602880 has 960 divisors, whose sum is σ = 333311666688. Its totient is φ = 17915904000.

The previous prime is 79788602843. The next prime is 79788602891. The reversal of 79788602880 is 8820688797.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×79788602880² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 317882755 + ... + 317883005.

Almost surely, 2^79788602880 is an apocalyptic number.

79788602880 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 79788602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166655833344).

79788602880 is an abundant number, since it is smaller than the sum of its proper divisors (253523063808).

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

79788602880 is an equidigital number, since it uses as much as digits as its factorization.

79788602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 79788602880 in words is "seventy-nine billion, seven hundred eighty-eight million, six hundred two thousand, eight hundred eighty".