838080 has 112 divisors (see below), whose sum is σ = 2987040. Its totient is φ = 221184.

The previous prime is 838069. The next prime is 838091. The reversal of 838080 is 80838.

It is an interprime number because it is at equal distance from previous prime (838069) and next prime (838091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8592 + ... + 8688.

It is an arithmetic number, because the mean of its divisors is an integer number (26670).

2⁸³⁸⁰⁸⁰ is an apocalyptic number.

838080 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 838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493520).

838080 is an abundant number, since it is smaller than the sum of its proper divisors (2148960).

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

838080 is a wasteful number, since it uses less digits than its factorization.

838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 838080 is about 915.4670938925. The cubic root of 838080 is about 94.2819360942.

The spelling of 838080 in words is "eight hundred thirty-eight thousand, eighty".