7964892 has 120 divisors (see below), whose sum is σ = 23526272. Its totient is φ = 2332800.

The previous prime is 7964881. The next prime is 7964897. The reversal of 7964892 is 2984697.

It is a happy number.

7964892 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7964897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130542 + ... + 130602.

Almost surely, 2^7964892 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 7964892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11763136).

7964892 is an abundant number, since it is smaller than the sum of its proper divisors (15561380).

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

7964892 is a wasteful number, since it uses less digits than its factorization.

7964892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 7964892 is about 2822.2140244850. The cubic root of 7964892 is about 199.7070043106.

The spelling of 7964892 in words is "seven million, nine hundred sixty-four thousand, eight hundred ninety-two".