7966800 has 90 divisors (see below), whose sum is σ = 27659502. Its totient is φ = 2123520.

The previous prime is 7966787. The next prime is 7966807. The reversal of 7966800 is 86697.

It can be written as a sum of positive squares in 3 ways, for example, as 2547216 + 5419584 = 1596^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7966807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2494 + ... + 4706.

Almost surely, 2^7966800 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 7966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829751).

7966800 is an abundant number, since it is smaller than the sum of its proper divisors (19692702).

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

7966800 is a wasteful number, since it uses less digits than its factorization.

7966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7966800 is about 2822.5520367214. The cubic root of 7966800 is about 199.7229497263.

The spelling of 7966800 in words is "seven million, nine hundred sixty-six thousand, eight hundred".