7870800 has 120 divisors (see below), whose sum is σ = 28845376. Its totient is φ = 1797120.

The previous prime is 7870739. The next prime is 7870817. The reversal of 7870800 is 80787.

It is a happy number.

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 (30).

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, 7932 + ... + 8868.

Almost surely, 2^7870800 is an apocalyptic number.

7870800 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 7870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422688).

7870800 is an abundant number, since it is smaller than the sum of its proper divisors (20974576).

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

7870800 is a wasteful number, since it uses less digits than its factorization.

7870800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 7870800 is about 2805.4946087990. The cubic root of 7870800 is about 198.9174847077.

The spelling of 7870800 in words is "seven million, eight hundred seventy thousand, eight hundred".