78682332960 has 768 divisors, whose sum is σ = 349897605120. Its totient is φ = 16037498880.

The previous prime is 78682332947. The next prime is 78682332991. The reversal of 78682332960 is 6923328687.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 78682332897 and 78682332906.

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, 17627689 + ... + 17632151.

It is an arithmetic number, because the mean of its divisors is an integer number (455595840).

Almost surely, 2^78682332960 is an apocalyptic number.

78682332960 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 78682332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174948802560).

78682332960 is an abundant number, since it is smaller than the sum of its proper divisors (271215272160).

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

78682332960 is a wasteful number, since it uses less digits than its factorization.

78682332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 78682332960 in words is "seventy-eight billion, six hundred eighty-two million, three hundred thirty-two thousand, nine hundred sixty".