78814632960 has 880 divisors, whose sum is σ = 341974505664. Its totient is φ = 16944463872.

The previous prime is 78814632931. The next prime is 78814632971. The reversal of 78814632960 is 6923641887.

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 = 78814632897 and 78814632906.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 49350882 + ... + 49352478.

Almost surely, 2^78814632960 is an apocalyptic number.

78814632960 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 78814632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170987252832).

78814632960 is an abundant number, since it is smaller than the sum of its proper divisors (263159872704).

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

78814632960 is a wasteful number, since it uses less digits than its factorization.

78814632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 78814632960 in words is "seventy-eight billion, eight hundred fourteen million, six hundred thirty-two thousand, nine hundred sixty".