7972246800 has 360 divisors, whose sum is σ = 32792026176. Its totient is φ = 1822072320.

The previous prime is 7972246783. The next prime is 7972246801. The reversal of 7972246800 is 86422797.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×7972246800² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7972246801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 674542 + ... + 686258.

Almost surely, 2^7972246800 is an apocalyptic number.

7972246800 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 7972246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396013088).

7972246800 is an abundant number, since it is smaller than the sum of its proper divisors (24819779376).

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

7972246800 is a wasteful number, since it uses less digits than its factorization.

7972246800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11757 (or 11734 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7972246800 is about 89287.4392061952. The cubic root of 7972246800 is about 1997.6845537221.

The spelling of 7972246800 in words is "seven billion, nine hundred seventy-two million, two hundred forty-six thousand, eight hundred".