7977792 has 56 divisors (see below), whose sum is σ = 21697696. Its totient is φ = 2585088.

The previous prime is 7977787. The next prime is 7977793. The reversal of 7977792 is 2977797.

It is a happy number.

7977792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7977793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6543 + ... + 7665.

Almost surely, 2^7977792 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 7977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848848).

7977792 is an abundant number, since it is smaller than the sum of its proper divisors (13719904).

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

7977792 is a wasteful number, since it uses less digits than its factorization.

7977792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1165 counting only the distinct ones).

The product of its digits is 388962, while the sum is 48.

The square root of 7977792 is about 2824.4985395641. The cubic root of 7977792 is about 199.8147618204.

The spelling of 7977792 in words is "seven million, nine hundred seventy-seven thousand, seven hundred ninety-two".