851008704 has 224 divisors, whose sum is σ = 2826593280. Its totient is φ = 219967488.

The previous prime is 851008703. The next prime is 851008721. The reversal of 851008704 is 407800158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (851008703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925557 + ... + 926475.

It is an arithmetic number, because the mean of its divisors is an integer number (12618720).

Almost surely, 2^851008704 is an apocalyptic number.

851008704 is a gapful number since it is divisible by the number (84) 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 851008704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413296640).

851008704 is an abundant number, since it is smaller than the sum of its proper divisors (1975584576).

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

851008704 is a wasteful number, since it uses less digits than its factorization.

851008704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 851008704 is about 29172.0534758868. The cubic root of 851008704 is about 947.6428001413.

The spelling of 851008704 in words is "eight hundred fifty-one million, eight thousand, seven hundred four".