7564980 has 48 divisors (see below), whose sum is σ = 21551040. Its totient is φ = 1982208.

The previous prime is 7564939. The next prime is 7564981. The reversal of 7564980 is 894657.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (7564981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2472 + ... + 4608.

It is an arithmetic number, because the mean of its divisors is an integer number (448980).

Almost surely, 2^7564980 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 7564980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775520).

7564980 is an abundant number, since it is smaller than the sum of its proper divisors (13986060).

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

7564980 is a wasteful number, since it uses less digits than its factorization.

7564980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7564980 is about 2750.4508721299. The cubic root of 7564980 is about 196.3070641527.

The spelling of 7564980 in words is "seven million, five hundred sixty-four thousand, nine hundred eighty".