7886750400 has 504 divisors, whose sum is σ = 29401641984. Its totient is φ = 2003097600.

The previous prime is 7886750369. The next prime is 7886750437. The reversal of 7886750400 is 40576887.

7886750400 is a `hidden beast` number, since 7 + 88 + 67 + 504 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29102265 + ... + 29102535.

Almost surely, 2^7886750400 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 7886750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14700820992).

7886750400 is an abundant number, since it is smaller than the sum of its proper divisors (21514891584).

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

7886750400 is a wasteful number, since it uses less digits than its factorization.

7886750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7886750400 is about 88807.3780718697. The cubic root of 7886750400 is about 1990.5176468734.

The spelling of 7886750400 in words is "seven billion, eight hundred eighty-six million, seven hundred fifty thousand, four hundred".