7930072800 has 576 divisors, whose sum is σ = 31917957120. Its totient is φ = 1886976000.

The previous prime is 7930072793. The next prime is 7930072811. The reversal of 7930072800 is 82700397.

7930072800 is a `hidden beast` number, since 79 + 300 + 7 + 280 + 0 = 666.

It is a super-2 number, since 2×7930072800² (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 a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8704345 + ... + 8705255.

It is an arithmetic number, because the mean of its divisors is an integer number (55413120).

Almost surely, 2^7930072800 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 7930072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

7930072800 is an abundant number, since it is smaller than the sum of its proper divisors (23987884320).

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

7930072800 is a wasteful number, since it uses less digits than its factorization.

7930072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7930072800 is about 89050.9561992458. The cubic root of 7930072800 is about 1994.1556718828.

It can be divided in two parts, 79300 and 72800, that added together give a square (152100 = 390²).

The spelling of 7930072800 in words is "seven billion, nine hundred thirty million, seventy-two thousand, eight hundred".