851672800 has 144 divisors (see below), whose sum is σ = 2402002512. Its totient is φ = 291430400.

The previous prime is 851672753. The next prime is 851672849. The reversal of 851672800 is 8276158.

It is a self number, because there is not a number n which added to its sum of digits gives 851672800.

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, 146754 + ... + 152446.

It is an arithmetic number, because the mean of its divisors is an integer number (16680573).

Almost surely, 2^851672800 is an apocalyptic number.

851672800 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 851672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201001256).

851672800 is an abundant number, since it is smaller than the sum of its proper divisors (1550329712).

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

851672800 is a wasteful number, since it uses less digits than its factorization.

851672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 851672800 is about 29183.4336567855. The cubic root of 851672800 is about 947.8892379510.

The spelling of 851672800 in words is "eight hundred fifty-one million, six hundred seventy-two thousand, eight hundred".