7978990800 has 720 divisors, whose sum is σ = 31330691136. Its totient is φ = 1714176000.

The previous prime is 7978990781. The next prime is 7978990819. The reversal of 7978990800 is 80998797.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7978990781) and next prime (7978990819).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 215648382 + ... + 215648418.

Almost surely, 2^7978990800 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 7978990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665345568).

7978990800 is an abundant number, since it is smaller than the sum of its proper divisors (23351700336).

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

7978990800 is a wasteful number, since it uses less digits than its factorization.

7978990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 57.

The square root of 7978990800 is about 89325.1968931499. The cubic root of 7978990800 is about 1998.2476985014.

The spelling of 7978990800 in words is "seven billion, nine hundred seventy-eight million, nine hundred ninety thousand, eight hundred".