7988626400 has 144 divisors (see below), whose sum is σ = 21040934544. Its totient is φ = 2950471680.

The previous prime is 7988626397. The next prime is 7988626423. The reversal of 7988626400 is 46268897.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715259 + ... + 726341.

It is an arithmetic number, because the mean of its divisors is an integer number (146117601).

Almost surely, 2^7988626400 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 7988626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10520467272).

7988626400 is an abundant number, since it is smaller than the sum of its proper divisors (13052308144).

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

7988626400 is a wasteful number, since it uses less digits than its factorization.

7988626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 7988626400 is about 89379.1161289929. The cubic root of 7988626400 is about 1999.0517504825.

The spelling of 7988626400 in words is "seven billion, nine hundred eighty-eight million, six hundred twenty-six thousand, four hundred".