836376960 has 256 divisors, whose sum is σ = 2846534400. Its totient is φ = 208281600.

The previous prime is 836376953. The next prime is 836377027. The reversal of 836376960 is 69673638.

It is a happy number.

It is a super-3 number, since 3×836376960³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3684367 + ... + 3684593.

It is an arithmetic number, because the mean of its divisors is an integer number (11119275).

Almost surely, 2^836376960 is an apocalyptic number.

836376960 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 836376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423267200).

836376960 is an abundant number, since it is smaller than the sum of its proper divisors (2010157440).

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

836376960 is a wasteful number, since it uses less digits than its factorization.

836376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 836376960 is about 28920.1825720378. The cubic root of 836376960 is about 942.1803018545.

The spelling of 836376960 in words is "eight hundred thirty-six million, three hundred seventy-six thousand, nine hundred sixty".