78676800 has 168 divisors, whose sum is σ = 265700256. Its totient is φ = 20367360.

The previous prime is 78676783. The next prime is 78676823. The reversal of 78676800 is 867687.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177379 + ... + 177821.

Almost surely, 2^78676800 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 78676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132850128).

78676800 is an abundant number, since it is smaller than the sum of its proper divisors (187023456).

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

78676800 is a wasteful number, since it uses less digits than its factorization.

78676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 78676800 is about 8869.9943630196. The cubic root of 78676800 is about 428.4980953891.

The spelling of 78676800 in words is "seventy-eight million, six hundred seventy-six thousand, eight hundred".