78198312960 has 312 divisors, whose sum is σ = 271894544064. Its totient is φ = 20788346880.

The previous prime is 78198312923. The next prime is 78198312989. The reversal of 78198312960 is 6921389187.

It is a super-2 number, since 2×78198312960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78198312897 and 78198312906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105246349 + ... + 105247091.

It is an arithmetic number, because the mean of its divisors is an integer number (871456872).

Almost surely, 2^78198312960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78198312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135947272032).

78198312960 is an abundant number, since it is smaller than the sum of its proper divisors (193696231104).

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

78198312960 is a wasteful number, since it uses less digits than its factorization.

78198312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 78198312960 in words is "seventy-eight billion, one hundred ninety-eight million, three hundred twelve thousand, nine hundred sixty".