851480800 has 72 divisors (see below), whose sum is σ = 2102209200. Its totient is φ = 336737280.

The previous prime is 851480789. The next prime is 851480809. The reversal of 851480800 is 8084158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851480809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65221 + ... + 77179.

It is an arithmetic number, because the mean of its divisors is an integer number (29197350).

Almost surely, 2^851480800 is an apocalyptic number.

851480800 is a gapful number since it is divisible by the number (80) 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 851480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051104600).

851480800 is an abundant number, since it is smaller than the sum of its proper divisors (1250728400).

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

851480800 is a wasteful number, since it uses less digits than its factorization.

851480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12068 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 851480800 is about 29180.1439338465. The cubic root of 851480800 is about 947.8180022951.

The spelling of 851480800 in words is "eight hundred fifty-one million, four hundred eighty thousand, eight hundred".