838752960 has 112 divisors (see below), whose sum is σ = 2778898176. Its totient is φ = 213937152.

The previous prime is 838752947. The next prime is 838752973. The reversal of 838752960 is 69257838.

It is an interprime number because it is at equal distance from previous prime (838752947) and next prime (838752973).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087 + ... + 41073.

Almost surely, 2^838752960 is an apocalyptic number.

838752960 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 838752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389449088).

838752960 is an abundant number, since it is smaller than the sum of its proper divisors (1940145216).

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

838752960 is a wasteful number, since it uses less digits than its factorization.

838752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38030 (or 38020 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 838752960 is about 28961.2320179926. The cubic root of 838752960 is about 943.0716479026.

The spelling of 838752960 in words is "eight hundred thirty-eight million, seven hundred fifty-two thousand, nine hundred sixty".