836090400 has 144 divisors (see below), whose sum is σ = 2766572928. Its totient is φ = 219264000.

The previous prime is 836090393. The next prime is 836090401. The reversal of 836090400 is 4090638.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (836090401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143545 + ... + 149255.

It is an arithmetic number, because the mean of its divisors is an integer number (19212312).

Almost surely, 2^836090400 is an apocalyptic number.

836090400 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 836090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383286464).

836090400 is an abundant number, since it is smaller than the sum of its proper divisors (1930482528).

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

836090400 is a wasteful number, since it uses less digits than its factorization.

836090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 836090400 is about 28915.2278220318. The cubic root of 836090400 is about 942.0726860939.

The spelling of 836090400 in words is "eight hundred thirty-six million, ninety thousand, four hundred".