7997760 has 84 divisors (see below), whose sum is σ = 27518868. Its totient is φ = 2131968.

The previous prime is 7997749. The next prime is 7997777. The reversal of 7997760 is 677997.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 5992704 = 1416^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1492 + ... + 4268.

Almost surely, 2^7997760 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 7997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759434).

7997760 is an abundant number, since it is smaller than the sum of its proper divisors (19521108).

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

7997760 is a wasteful number, since it uses less digits than its factorization.

7997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 7997760 is about 2828.0311172263. The cubic root of 7997760 is about 199.9813315908.

The spelling of 7997760 in words is "seven million, nine hundred ninety-seven thousand, seven hundred sixty".