7722864 has 100 divisors (see below), whose sum is σ = 22956120. Its totient is φ = 2505600.

The previous prime is 7722857. The next prime is 7722877. The reversal of 7722864 is 4682277.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76414 + ... + 76514.

Almost surely, 2^7722864 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 7722864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478060).

7722864 is an abundant number, since it is smaller than the sum of its proper divisors (15233256).

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

7722864 is a wasteful number, since it uses less digits than its factorization.

7722864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7722864 is about 2779.0041381761. The cubic root of 7722864 is about 197.6633397453.

The spelling of 7722864 in words is "seven million, seven hundred twenty-two thousand, eight hundred sixty-four".