7892920 has 48 divisors (see below), whose sum is σ = 20663640. Its totient is φ = 2705472.

The previous prime is 7892917. The next prime is 7892939. The reversal of 7892920 is 292987.

7892920 is nontrivially palindromic in base 6.

It is a super-2 number, since 2×7892920² = 124596372252800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7892920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54 + ... + 3973.

Almost surely, 2^7892920 is an apocalyptic number.

7892920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7892920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331820).

7892920 is an abundant number, since it is smaller than the sum of its proper divisors (12770720).

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

7892920 is a wasteful number, since it uses less digits than its factorization.

7892920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 7892920 is about 2809.4341067197. The cubic root of 7892920 is about 199.1036555006.

The spelling of 7892920 in words is "seven million, eight hundred ninety-two thousand, nine hundred twenty".