7834680 has 96 divisors (see below), whose sum is σ = 29109600. Its totient is φ = 1790208.

The previous prime is 7834679. The next prime is 7834699. The reversal of 7834680 is 864387.

It is a super-2 number, since 2×7834680² = 122764421404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 966 + ... + 4074.

It is an arithmetic number, because the mean of its divisors is an integer number (303225).

Almost surely, 2^7834680 is an apocalyptic number.

7834680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7834680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554800).

7834680 is an abundant number, since it is smaller than the sum of its proper divisors (21274920).

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

7834680 is a wasteful number, since it uses less digits than its factorization.

7834680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7834680 is about 2799.0498387846. The cubic root of 7834680 is about 198.6127330336.

The spelling of 7834680 in words is "seven million, eight hundred thirty-four thousand, six hundred eighty".