78794311680 has 960 divisors, whose sum is σ = 331640749440. Its totient is φ = 17517772800.

The previous prime is 78794311663. The next prime is 78794311691. The reversal of 78794311680 is 8611349787.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238049115 + ... + 238049445.

It is an arithmetic number, because the mean of its divisors is an integer number (345459114).

Almost surely, 2^78794311680 is an apocalyptic number.

78794311680 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 78794311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165820374720).

78794311680 is an abundant number, since it is smaller than the sum of its proper divisors (252846437760).

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

78794311680 is a wasteful number, since it uses less digits than its factorization.

78794311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 78794311680 in words is "seventy-eight billion, seven hundred ninety-four million, three hundred eleven thousand, six hundred eighty".