78705768960 has 1600 divisors, whose sum is σ = 358681542912. Its totient is φ = 16052649984.

The previous prime is 78705768881. The next prime is 78705768961. The reversal of 78705768960 is 6986750787.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78705768961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 811399632 + ... + 811399728.

Almost surely, 2^78705768960 is an apocalyptic number.

78705768960 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 78705768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179340771456).

78705768960 is an abundant number, since it is smaller than the sum of its proper divisors (279975773952).

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

78705768960 is a wasteful number, since it uses less digits than its factorization.

78705768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 78705768960 in words is "seventy-eight billion, seven hundred five million, seven hundred sixty-eight thousand, nine hundred sixty".