78662400 has 216 divisors, whose sum is σ = 276013584. Its totient is φ = 19660800.

The previous prime is 78662377. The next prime is 78662411. The reversal of 78662400 is 426687.

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, 326280 + ... + 326520.

Almost surely, 2^78662400 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 78662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138006792).

78662400 is an abundant number, since it is smaller than the sum of its proper divisors (197351184).

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

78662400 is a wasteful number, since it uses less digits than its factorization.

78662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 78662400 is about 8869.1826004430. The cubic root of 78662400 is about 428.4719515150.

The spelling of 78662400 in words is "seventy-eight million, six hundred sixty-two thousand, four hundred".