847791360 has 720 divisors, whose sum is σ = 3552561936. Its totient is φ = 191102976.

The previous prime is 847791337. The next prime is 847791383. The reversal of 847791360 is 63197748.

It is an interprime number because it is at equal distance from previous prime (847791337) and next prime (847791383).

It can be written as a sum of positive squares in 8 ways, for example, as 10036224 + 837755136 = 3168^2 + 28944^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 22913262 + ... + 22913298.

Almost surely, 2^847791360 is an apocalyptic number.

847791360 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 847791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776280968).

847791360 is an abundant number, since it is smaller than the sum of its proper divisors (2704770576).

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

847791360 is a wasteful number, since it uses less digits than its factorization.

847791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 847791360 is about 29116.8569732380. The cubic root of 847791360 is about 946.4470649342.

The spelling of 847791360 in words is "eight hundred forty-seven million, seven hundred ninety-one thousand, three hundred sixty".