7866720 has 120 divisors (see below), whose sum is σ = 27808704. Its totient is φ = 2094336.

The previous prime is 7866709. The next prime is 7866731. The reversal of 7866720 is 276687.

It is an interprime number because it is at equal distance from previous prime (7866709) and next prime (7866731).

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 12657 + ... + 13263.

Almost surely, 2^7866720 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 7866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904352).

7866720 is an abundant number, since it is smaller than the sum of its proper divisors (19941984).

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

7866720 is a wasteful number, since it uses less digits than its factorization.

7866720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7866720 is about 2804.7673700327. The cubic root of 7866720 is about 198.8831077019.

It can be divided in two parts, 78667 and 20, that added together give a palindrome (78687).

The spelling of 7866720 in words is "seven million, eight hundred sixty-six thousand, seven hundred twenty".