7920712800 has 1296 divisors, whose sum is σ = 38413760112. Its totient is φ = 1509580800.

The previous prime is 7920712781. The next prime is 7920712817. The reversal of 7920712800 is 82170297.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50450322 + ... + 50450478.

It is an arithmetic number, because the mean of its divisors is an integer number (29640247).

Almost surely, 2^7920712800 is an apocalyptic number.

7920712800 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 7920712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206880056).

7920712800 is an abundant number, since it is smaller than the sum of its proper divisors (30493047312).

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

7920712800 is a wasteful number, since it uses less digits than its factorization.

7920712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

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

The square root of 7920712800 is about 88998.3865022282. The cubic root of 7920712800 is about 1993.3707843609.

The spelling of 7920712800 in words is "seven billion, nine hundred twenty million, seven hundred twelve thousand, eight hundred".