7813952 has 28 divisors (see below), whose sum is σ = 15703296. Its totient is φ = 3857280.

The previous prime is 7813937. The next prime is 7813957. The reversal of 7813952 is 2593187.

It is a super-2 number, since 2×7813952² = 122115691716608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4577 + ... + 6047.

It is an arithmetic number, because the mean of its divisors is an integer number (560832).

Almost surely, 2^7813952 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 7813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851648).

7813952 is an abundant number, since it is smaller than the sum of its proper divisors (7889344).

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

7813952 is a wasteful number, since it uses less digits than its factorization.

7813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1556 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 7813952 is about 2795.3447014635. The cubic root of 7813952 is about 198.4374235683.

The spelling of 7813952 in words is "seven million, eight hundred thirteen thousand, nine hundred fifty-two".