7682572800 has 540 divisors, whose sum is σ = 32006091546. Its totient is φ = 1754726400.

The previous prime is 7682572763. The next prime is 7682572801. The reversal of 7682572800 is 82752867.

7682572800 is a `hidden beast` number, since 76 + 8 + 2 + 572 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4381380864 + 3301191936 = 66192^2 + 57456^2 .

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 (7682572801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5644120 + ... + 5645480.

Almost surely, 2^7682572800 is an apocalyptic number.

7682572800 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 7682572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003045773).

7682572800 is an abundant number, since it is smaller than the sum of its proper divisors (24323518746).

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

7682572800 is a wasteful number, since it uses less digits than its factorization.

7682572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7682572800 is about 87650.2869362103. The cubic root of 7682572800 is about 1973.1899498124.

The spelling of 7682572800 in words is "seven billion, six hundred eighty-two million, five hundred seventy-two thousand, eight hundred".