851290752 has 128 divisors (see below), whose sum is σ = 2514193920. Its totient is φ = 253440000.

The previous prime is 851290751. The next prime is 851290753. The reversal of 851290752 is 257092158.

It is an interprime number because it is at equal distance from previous prime (851290751) and next prime (851290753).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 851290752.

It is not an unprimeable number, because it can be changed into a prime (851290751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152002 + ... + 157502.

It is an arithmetic number, because the mean of its divisors is an integer number (19642140).

Almost surely, 2^851290752 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 851290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257096960).

851290752 is an abundant number, since it is smaller than the sum of its proper divisors (1662903168).

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

851290752 is a wasteful number, since it uses less digits than its factorization.

851290752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 851290752 is about 29176.8872911419. The cubic root of 851290752 is about 947.7474803217.

The spelling of 851290752 in words is "eight hundred fifty-one million, two hundred ninety thousand, seven hundred fifty-two".