7680972 has 48 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 2316288.

The previous prime is 7680929. The next prime is 7680973. The reversal of 7680972 is 2790867.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 7680972.

It is not an unprimeable number, because it can be changed into a prime (7680973) 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 15 ways as a sum of consecutive naturals, for example, 7804 + ... + 8732.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^7680972 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 7680972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

7680972 is an abundant number, since it is smaller than the sum of its proper divisors (12005268).

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

7680972 is a wasteful number, since it uses less digits than its factorization.

7680972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7680972 is about 2771.4566567060. The cubic root of 7680972 is about 197.3052890611.

The spelling of 7680972 in words is "seven million, six hundred eighty thousand, nine hundred seventy-two".