7984764 has 48 divisors (see below), whose sum is σ = 21924000. Its totient is φ = 2504448.

The previous prime is 7984759. The next prime is 7984787. The reversal of 7984764 is 4674897.

It is a super-2 number, since 2×7984764² = 127512912271392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339 + ... + 4010.

It is an arithmetic number, because the mean of its divisors is an integer number (456750).

Almost surely, 2^7984764 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 7984764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10962000).

7984764 is an abundant number, since it is smaller than the sum of its proper divisors (13939236).

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

7984764 is a wasteful number, since it uses less digits than its factorization.

7984764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4371 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7984764 is about 2825.7324714134. The cubic root of 7984764 is about 199.8729526453.

The spelling of 7984764 in words is "seven million, nine hundred eighty-four thousand, seven hundred sixty-four".