7823880 has 96 divisors (see below), whose sum is σ = 25796160. Its totient is φ = 2056320.

The previous prime is 7823869. The next prime is 7823891. The reversal of 7823880 is 883287.

7823880 = 223² + 224² + ... + 325².

It is an interprime number because it is at equal distance from previous prime (7823869) and next prime (7823891).

It is a super-2 number, since 2×7823880² = 122426196508800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 36975 + ... + 37185.

It is an arithmetic number, because the mean of its divisors is an integer number (268710).

Almost surely, 2^7823880 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 7823880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898080).

7823880 is an abundant number, since it is smaller than the sum of its proper divisors (17972280).

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

7823880 is a wasteful number, since it uses less digits than its factorization.

7823880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7823880 is about 2797.1199473744. The cubic root of 7823880 is about 198.5214294152.

The spelling of 7823880 in words is "seven million, eight hundred twenty-three thousand, eight hundred eighty".