7900975872 has 216 divisors, whose sum is σ = 23865057216. Its totient is φ = 2606846976.

The previous prime is 7900975861. The next prime is 7900975891. The reversal of 7900975872 is 2785790097.

It is a tau number, because it is divible by the number of its divisors (216).

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

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 23 ways as a sum of consecutive naturals, for example, 6655663 + ... + 6656849.

It is an arithmetic number, because the mean of its divisors is an integer number (110486376).

Almost surely, 2^7900975872 is an apocalyptic number.

7900975872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7900975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11932528608).

7900975872 is an abundant number, since it is smaller than the sum of its proper divisors (15964081344).

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

7900975872 is a wasteful number, since it uses less digits than its factorization.

7900975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 7900975872 is about 88887.4337125333. The cubic root of 7900975872 is about 1991.7137054076.

The spelling of 7900975872 in words is "seven billion, nine hundred million, nine hundred seventy-five thousand, eight hundred seventy-two".