7912872000 has 672 divisors, whose sum is σ = 31500129024. Its totient is φ = 1880064000.

The previous prime is 7912871983. The next prime is 7912872017. The reversal of 7912872000 is 2782197.

It is an interprime number because it is at equal distance from previous prime (7912871983) and next prime (7912872017).

It is a super-2 number, since 2×7912872000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76823949 + ... + 76824051.

It is an arithmetic number, because the mean of its divisors is an integer number (46875192).

Almost surely, 2^7912872000 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 7912872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750064512).

7912872000 is an abundant number, since it is smaller than the sum of its proper divisors (23587257024).

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

7912872000 is a wasteful number, since it uses less digits than its factorization.

7912872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 7912872000 is about 88954.3253585794. The cubic root of 7912872000 is about 1992.7128140414.

The spelling of 7912872000 in words is "seven billion, nine hundred twelve million, eight hundred seventy-two thousand".