7978618800 has 240 divisors, whose sum is σ = 29315266560. Its totient is φ = 2058912000.

The previous prime is 7978618799. The next prime is 7978618829. The reversal of 7978618800 is 88168797.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322885 + ... + 346715.

It is an arithmetic number, because the mean of its divisors is an integer number (122146944).

Almost surely, 2^7978618800 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 7978618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657633280).

7978618800 is an abundant number, since it is smaller than the sum of its proper divisors (21336647760).

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

7978618800 is a wasteful number, since it uses less digits than its factorization.

7978618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23889 (or 23872 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 7978618800 is about 89323.1145896738. The cubic root of 7978618800 is about 1998.2166436260.

The spelling of 7978618800 in words is "seven billion, nine hundred seventy-eight million, six hundred eighteen thousand, eight hundred".