78796800 has 360 divisors, whose sum is σ = 307206900. Its totient is φ = 19906560.

The previous prime is 78796789. The next prime is 78796807. The reversal of 78796800 is 869787.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78796807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4147191 + ... + 4147209.

Almost surely, 2^78796800 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 78796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153603450).

78796800 is an abundant number, since it is smaller than the sum of its proper divisors (228410100).

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

78796800 is a wasteful number, since it uses less digits than its factorization.

78796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

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

The square root of 78796800 is about 8876.7561642753. The cubic root of 78796800 is about 428.7158370499.

The spelling of 78796800 in words is "seventy-eight million, seven hundred ninety-six thousand, eight hundred".