838880 has 72 divisors (see below), whose sum is σ = 2326968. Its totient is φ = 284928.

The previous prime is 838853. The next prime is 838889. The reversal of 838880 is 88838.

838880 = T₁₆₀ + T₁₆₁ + ... + T₂₀₈.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a plaindrome in base 12.

It is a zygodrome in base 2 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 838880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7787 + ... + 7893.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

2⁸³⁸⁸⁸⁰ is an apocalyptic number.

838880 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 838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163484).

838880 is an abundant number, since it is smaller than the sum of its proper divisors (1488088).

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

838880 is a wasteful number, since it uses less digits than its factorization.

838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 838880 is about 915.9039250926. The cubic root of 838880 is about 94.3119258971.

The spelling of 838880 in words is "eight hundred thirty-eight thousand, eight hundred eighty".