78924300 has 288 divisors, whose sum is σ = 291648000. Its totient is φ = 16369920.

The previous prime is 78924269. The next prime is 78924337. The reversal of 78924300 is 342987.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337671 + ... + 1337729.

Almost surely, 2^78924300 is an apocalyptic number.

78924300 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 78924300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824000).

78924300 is an abundant number, since it is smaller than the sum of its proper divisors (212723700).

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

78924300 is a wasteful number, since it uses less digits than its factorization.

78924300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 78924300 is about 8883.9349389783. The cubic root of 78924300 is about 428.9469454769.

The spelling of 78924300 in words is "seventy-eight million, nine hundred twenty-four thousand, three hundred".