7972179600 has 720 divisors, whose sum is σ = 33743554560. Its totient is φ = 1562803200.

The previous prime is 7972179587. The next prime is 7972179601. The reversal of 7972179600 is 69712797.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7972179600.

It is not an unprimeable number, because it can be changed into a prime (7972179601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33356281 + ... + 33356519.

It is an arithmetic number, because the mean of its divisors is an integer number (46866048).

Almost surely, 2^7972179600 is an apocalyptic number.

7972179600 is a gapful number since it is divisible by the number (70) 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 7972179600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871777280).

7972179600 is an abundant number, since it is smaller than the sum of its proper divisors (25771374960).

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

7972179600 is a wasteful number, since it uses less digits than its factorization.

7972179600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The square root of 7972179600 is about 89287.0628926722. The cubic root of 7972179600 is about 1997.6789407173.

The spelling of 7972179600 in words is "seven billion, nine hundred seventy-two million, one hundred seventy-nine thousand, six hundred".