78978600 has 288 divisors, whose sum is σ = 293787000. Its totient is φ = 18923520.

The previous prime is 78978589. The next prime is 78978623. The reversal of 78978600 is 687987.

It can be written as a sum of positive squares in 12 ways, for example, as 4639716 + 74338884 = 2154^2 + 8622^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 887356 + ... + 887444.

Almost surely, 2^78978600 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 78978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146893500).

78978600 is an abundant number, since it is smaller than the sum of its proper divisors (214808400).

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

78978600 is a wasteful number, since it uses less digits than its factorization.

78978600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 78978600 is about 8886.9904917244. The cubic root of 78978600 is about 429.0452949061.

The spelling of 78978600 in words is "seventy-eight million, nine hundred seventy-eight thousand, six hundred".