7876225800 has 864 divisors, whose sum is σ = 31838676480. Its totient is φ = 1733529600.

The previous prime is 7876225793. The next prime is 7876225813. The reversal of 7876225800 is 85226787.

7876225800 is a `hidden beast` number, since 7 + 8 + 7 + 62 + 2 + 580 + 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 (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 254071785 + ... + 254071815.

It is an arithmetic number, because the mean of its divisors is an integer number (36850320).

Almost surely, 2^7876225800 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 7876225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15919338240).

7876225800 is an abundant number, since it is smaller than the sum of its proper divisors (23962450680).

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

7876225800 is a wasteful number, since it uses less digits than its factorization.

7876225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

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

The square root of 7876225800 is about 88748.1030783194. The cubic root of 7876225800 is about 1989.6318267053.

The spelling of 7876225800 in words is "seven billion, eight hundred seventy-six million, two hundred twenty-five thousand, eight hundred".