78668928 has 256 divisors, whose sum is σ = 267321600. Its totient is φ = 22560768.

The previous prime is 78668881. The next prime is 78668981. The reversal of 78668928 is 82986687.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763725 + ... + 763827.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^78668928 is an apocalyptic number.

78668928 is a gapful number since it is divisible by the number (78) 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 78668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

78668928 is an abundant number, since it is smaller than the sum of its proper divisors (188652672).

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

78668928 is a wasteful number, since it uses less digits than its factorization.

78668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 78668928 is about 8869.5506086836. The cubic root of 78668928 is about 428.4838037999.

The spelling of 78668928 in words is "seventy-eight million, six hundred sixty-eight thousand, nine hundred twenty-eight".