7908880 has 80 divisors (see below), whose sum is σ = 21784320. Its totient is φ = 2612736.

The previous prime is 7908877. The next prime is 7908889. The reversal of 7908880 is 888097.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7908889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15997 + ... + 16483.

It is an arithmetic number, because the mean of its divisors is an integer number (272304).

Almost surely, 2^7908880 is an apocalyptic number.

7908880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7908880 is the 1624-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7908880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892160).

7908880 is an abundant number, since it is smaller than the sum of its proper divisors (13875440).

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

7908880 is a wasteful number, since it uses less digits than its factorization.

7908880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 7908880 is about 2812.2731019586. The cubic root of 7908880 is about 199.2377653488.

The spelling of 7908880 in words is "seven million, nine hundred eight thousand, eight hundred eighty".