78297360960 has 448 divisors, whose sum is σ = 307140083712. Its totient is φ = 16456310784.

The previous prime is 78297360949. The next prime is 78297360979. The reversal of 78297360960 is 6906379287.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×78297360960² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78297360960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24721297 + ... + 24724463.

It is an arithmetic number, because the mean of its divisors is an integer number (685580544).

Almost surely, 2^78297360960 is an apocalyptic number.

78297360960 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 78297360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153570041856).

78297360960 is an abundant number, since it is smaller than the sum of its proper divisors (228842722752).

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

78297360960 is a wasteful number, since it uses less digits than its factorization.

78297360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 78297360960 in words is "seventy-eight billion, two hundred ninety-seven million, three hundred sixty thousand, nine hundred sixty".