851976000 has 168 divisors, whose sum is σ = 3047917704. Its totient is φ = 227174400.

The previous prime is 851975987. The next prime is 851976001. The reversal of 851976000 is 679158.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 848906496 = 1752^2 + 29136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851976001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66084 + ... + 77916.

Almost surely, 2^851976000 is an apocalyptic number.

851976000 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 851976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523958852).

851976000 is an abundant number, since it is smaller than the sum of its proper divisors (2195941704).

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

851976000 is a wasteful number, since it uses less digits than its factorization.

851976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11866 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 851976000 is about 29188.6279225317. The cubic root of 851976000 is about 948.0017091247.

The spelling of 851976000 in words is "eight hundred fifty-one million, nine hundred seventy-six thousand".