836400 has 120 divisors (see below), whose sum is σ = 2906064. Its totient is φ = 204800.

The previous prime is 836387. The next prime is 836413. The reversal of 836400 is 4638.

It is an interprime number because it is at equal distance from previous prime (836387) and next prime (836413).

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20380 + ... + 20420.

2⁸³⁶⁴⁰⁰ is an apocalyptic number.

836400 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 836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453032).

836400 is an abundant number, since it is smaller than the sum of its proper divisors (2069664).

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

836400 is a wasteful number, since it uses less digits than its factorization.

836400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 836400 is about 914.5490692139. The cubic root of 836400 is about 94.2188953310.

The spelling of 836400 in words is "eight hundred thirty-six thousand, four hundred".