78799633920 has 1280 divisors, whose sum is σ = 341858119680. Its totient is φ = 16817061888.

The previous prime is 78799633919. The next prime is 78799633937. The reversal of 78799633920 is 2933699787.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 812367312 + ... + 812367408.

It is an arithmetic number, because the mean of its divisors is an integer number (267076656).

Almost surely, 2^78799633920 is an apocalyptic number.

78799633920 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 78799633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170929059840).

78799633920 is an abundant number, since it is smaller than the sum of its proper divisors (263058485760).

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

78799633920 is a wasteful number, since it uses less digits than its factorization.

78799633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 78799633920 in words is "seventy-eight billion, seven hundred ninety-nine million, six hundred thirty-three thousand, nine hundred twenty".