78544800 has 108 divisors (see below), whose sum is σ = 276993990. Its totient is φ = 20943360.

The previous prime is 78544787. The next prime is 78544819. The reversal of 78544800 is 844587.

It can be written as a sum of positive squares in 3 ways, for example, as 47941776 + 30603024 = 6924^2 + 5532^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1746 + ... + 12654.

Almost surely, 2^78544800 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 78544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138496995).

78544800 is an abundant number, since it is smaller than the sum of its proper divisors (198449190).

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

78544800 is a wasteful number, since it uses less digits than its factorization.

78544800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10935 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 78544800 is about 8862.5504229877. The cubic root of 78544800 is about 428.2583236891.

The spelling of 78544800 in words is "seventy-eight million, five hundred forty-four thousand, eight hundred".