847952820 has 384 divisors, whose sum is σ = 3161088000. Its totient is φ = 186001920.

The previous prime is 847952789. The next prime is 847952863. The reversal of 847952820 is 28259748.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6100311 + ... + 6100449.

It is an arithmetic number, because the mean of its divisors is an integer number (8232000).

Almost surely, 2^847952820 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 847952820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580544000).

847952820 is an abundant number, since it is smaller than the sum of its proper divisors (2313135180).

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

847952820 is a wasteful number, since it uses less digits than its factorization.

847952820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 847952820 is about 29119.6294619283. The cubic root of 847952820 is about 946.5071440411.

The spelling of 847952820 in words is "eight hundred forty-seven million, nine hundred fifty-two thousand, eight hundred twenty".