7880736 has 48 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 2598144.

The previous prime is 7880713. The next prime is 7880737. The reversal of 7880736 is 6370887.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 7880694 and 7880703.

It is not an unprimeable number, because it can be changed into a prime (7880737) 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, 9490 + ... + 10286.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 2^7880736 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 7880736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

7880736 is an abundant number, since it is smaller than the sum of its proper divisors (13033248).

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

7880736 is a wasteful number, since it uses less digits than its factorization.

7880736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7880736 is about 2807.2648610347. The cubic root of 7880736 is about 199.0011531629.

The spelling of 7880736 in words is "seven million, eight hundred eighty thousand, seven hundred thirty-six".