7876800 has 126 divisors (see below), whose sum is σ = 28047188. Its totient is φ = 2096640.

The previous prime is 7876789. The next prime is 7876801. The reversal of 7876800 is 86787.

It is a happy number.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7876801) 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, 14127 + ... + 14673.

Almost surely, 2^7876800 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 7876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023594).

7876800 is an abundant number, since it is smaller than the sum of its proper divisors (20170388).

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

7876800 is a wasteful number, since it uses less digits than its factorization.

7876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7876800 is about 2806.5637352464. The cubic root of 7876800 is about 198.9680175532.

The spelling of 7876800 in words is "seven million, eight hundred seventy-six thousand, eight hundred".