7792880 has 40 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 3008768.

The previous prime is 7792861. The next prime is 7792891. The reversal of 7792880 is 882977.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641 + ... + 3999.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^7792880 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 7792880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

7792880 is an abundant number, since it is smaller than the sum of its proper divisors (10955920).

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

7792880 is a wasteful number, since it uses less digits than its factorization.

7792880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 7792880 is about 2791.5730332556. The cubic root of 7792880 is about 198.2588866053.

Subtracting from 7792880 its reverse (882977), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 7792880 in words is "seven million, seven hundred ninety-two thousand, eight hundred eighty".