7874680 has 48 divisors (see below), whose sum is σ = 19487160. Its totient is φ = 2861760.

The previous prime is 7874677. The next prime is 7874743. The reversal of 7874680 is 864787.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 7³ + 8³ + 7⁸ + 4⁶ + 6⁵ + 8⁷ + 0 .

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, 4027 + ... + 5653.

Almost surely, 2^7874680 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 7874680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743580).

7874680 is an abundant number, since it is smaller than the sum of its proper divisors (11612480).

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

7874680 is a wasteful number, since it uses less digits than its factorization.

7874680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 7874680 is about 2806.1860237696. The cubic root of 7874680 is about 198.9501655471.

The spelling of 7874680 in words is "seven million, eight hundred seventy-four thousand, six hundred eighty".