7972078752 has 96 divisors (see below), whose sum is σ = 25365735360. Its totient is φ = 2415778560.

The previous prime is 7972078727. The next prime is 7972078757. The reversal of 7972078752 is 2578702797.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (7972078757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409903 + ... + 428910.

It is an arithmetic number, because the mean of its divisors is an integer number (264226410).

Almost surely, 2^7972078752 is an apocalyptic number.

7972078752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7972078752 is an abundant number, since it is smaller than the sum of its proper divisors (17393656608).

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

7972078752 is a wasteful number, since it uses less digits than its factorization.

7972078752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838843 (or 838829 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The square root of 7972078752 is about 89286.4981506163. The cubic root of 7972078752 is about 1997.6705171415.

The spelling of 7972078752 in words is "seven billion, nine hundred seventy-two million, seventy-eight thousand, seven hundred fifty-two".