7860800 has 84 divisors (see below), whose sum is σ = 20551140. Its totient is φ = 2959360.

The previous prime is 7860799. The next prime is 7860821. The reversal of 7860800 is 80687.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 7795264 = 256^2 + 2792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462392 + ... + 462408.

Almost surely, 2^7860800 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 7860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275570).

7860800 is an abundant number, since it is smaller than the sum of its proper divisors (12690340).

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

7860800 is an equidigital number, since it uses as much as digits as its factorization.

7860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 7860800 is about 2803.7118254200. The cubic root of 7860800 is about 198.8332061985.

The spelling of 7860800 in words is "seven million, eight hundred sixty thousand, eight hundred".