7942792 has 64 divisors (see below), whose sum is σ = 17962560. Its totient is φ = 3244800.

The previous prime is 7942769. The next prime is 7942799. The reversal of 7942792 is 2972497.

It is not an unprimeable number, because it can be changed into a prime (7942799) 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, 60567 + ... + 60697.

It is an arithmetic number, because the mean of its divisors is an integer number (280665).

Almost surely, 2^7942792 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 7942792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981280).

7942792 is an abundant number, since it is smaller than the sum of its proper divisors (10019768).

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

7942792 is a wasteful number, since it uses less digits than its factorization.

7942792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 7942792 is about 2818.2959390383. The cubic root of 7942792 is about 199.5221257571.

It can be divided in two parts, 7942 and 792, that multiplied together give a square (6290064 = 2508²).

The spelling of 7942792 in words is "seven million, nine hundred forty-two thousand, seven hundred ninety-two".