851496800 has 288 divisors, whose sum is σ = 2708826624. Its totient is φ = 253440000.

The previous prime is 851496797. The next prime is 851496817. The reversal of 851496800 is 8694158.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416500 + ... + 1417100.

It is an arithmetic number, because the mean of its divisors is an integer number (9405648).

Almost surely, 2^851496800 is an apocalyptic number.

851496800 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 851496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354413312).

851496800 is an abundant number, since it is smaller than the sum of its proper divisors (1857329824).

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

851496800 is a wasteful number, since it uses less digits than its factorization.

851496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 851496800 is about 29180.4180915901. The cubic root of 851496800 is about 947.8239390087.

The spelling of 851496800 in words is "eight hundred fifty-one million, four hundred ninety-six thousand, eight hundred".