7792416 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2499840.

The previous prime is 7792399. The next prime is 7792429. The reversal of 7792416 is 6142977.

It is a happy number.

7792416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24901 + ... + 25211.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^7792416 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 7792416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

7792416 is an abundant number, since it is smaller than the sum of its proper divisors (15794784).

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

7792416 is a wasteful number, since it uses less digits than its factorization.

7792416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7792416 is about 2791.4899247534. The cubic root of 7792416 is about 198.2549516480.

The spelling of 7792416 in words is "seven million, seven hundred ninety-two thousand, four hundred sixteen".