7874720 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2635776.

The previous prime is 7874677. The next prime is 7874743. The reversal of 7874720 is 274787.

It is a super-2 number, since 2×7874720² = 124022430156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88436 + ... + 88524.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^7874720 is an apocalyptic number.

7874720 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 7874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

7874720 is an abundant number, since it is smaller than the sum of its proper divisors (13898080).

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

7874720 is a wasteful number, since it uses less digits than its factorization.

7874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 7874720 is about 2806.1931508718. The cubic root of 7874720 is about 198.9505024070.

The spelling of 7874720 in words is "seven million, eight hundred seventy-four thousand, seven hundred twenty".