78940800 has 144 divisors (see below), whose sum is σ = 281781630. Its totient is φ = 21043200.

The previous prime is 78940793. The next prime is 78940817. The reversal of 78940800 is 804987.

It can be written as a sum of positive squares in 3 ways, for example, as 50808384 + 28132416 = 7128^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 27430 + ... + 30170.

Almost surely, 2^78940800 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 78940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140890815).

78940800 is an abundant number, since it is smaller than the sum of its proper divisors (202840830).

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

78940800 is a wasteful number, since it uses less digits than its factorization.

78940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 78940800 is about 8884.8635329981. The cubic root of 78940800 is about 428.9768354323.

The spelling of 78940800 in words is "seventy-eight million, nine hundred forty thousand, eight hundred".