78048800 has 36 divisors (see below), whose sum is σ = 190538586. Its totient is φ = 31219200.

The previous prime is 78048797. The next prime is 78048823. The reversal of 78048800 is 884087.

It can be written as a sum of positive squares in 3 ways, for example, as 36626704 + 41422096 = 6052^2 + 6436^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47981 + ... + 49580.

Almost surely, 2^78048800 is an apocalyptic number.

It is an amenable number.

78048800 is an abundant number, since it is smaller than the sum of its proper divisors (112489786).

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

78048800 is a wasteful number, since it uses less digits than its factorization.

78048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97581 (or 97568 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 78048800 is about 8834.5231903029. The cubic root of 78048800 is about 427.3549546123.

The spelling of 78048800 in words is "seventy-eight million, forty-eight thousand, eight hundred".