78809920000 has 400 divisors, whose sum is σ = 227340127872. Its totient is φ = 26726400000.

The previous prime is 78809919971. The next prime is 78809920027. The reversal of 78809920000 is 2990887.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×78809920000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 338239884 + ... + 338240116.

Almost surely, 2^78809920000 is an apocalyptic number.

78809920000 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 78809920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113670063936).

78809920000 is an abundant number, since it is smaller than the sum of its proper divisors (148530207872).

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

78809920000 is an equidigital number, since it uses as much as digits as its factorization.

78809920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 78809920000 in words is "seventy-eight billion, eight hundred nine million, nine hundred twenty thousand".