7682800272 has 160 divisors (see below), whose sum is σ = 22997575680. Its totient is φ = 2164838400.

The previous prime is 7682800207. The next prime is 7682800283. The reversal of 7682800272 is 2720082867.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 8269504 + ... + 8270432.

It is an arithmetic number, because the mean of its divisors is an integer number (143734848).

Almost surely, 2^7682800272 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 7682800272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498787840).

7682800272 is an abundant number, since it is smaller than the sum of its proper divisors (15314775408).

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

7682800272 is a wasteful number, since it uses less digits than its factorization.

7682800272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 7682800272 is about 87651.5845378736. The cubic root of 7682800272 is about 1973.2094242362.

The spelling of 7682800272 in words is "seven billion, six hundred eighty-two million, eight hundred thousand, two hundred seventy-two".