78746688 has 112 divisors (see below), whose sum is σ = 233680000. Its totient is φ = 26002944.

The previous prime is 78746663. The next prime is 78746699. The reversal of 78746688 is 88664787.

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 15 ways as a sum of consecutive naturals, for example, 343758 + ... + 343986.

Almost surely, 2^78746688 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 78746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116840000).

78746688 is an abundant number, since it is smaller than the sum of its proper divisors (154933312).

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

78746688 is a wasteful number, since it uses less digits than its factorization.

78746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 78746688 is about 8873.9330626279. The cubic root of 78746688 is about 428.6249350338.

The spelling of 78746688 in words is "seventy-eight million, seven hundred forty-six thousand, six hundred eighty-eight".