836464320 has 336 divisors, whose sum is σ = 3088770048. Its totient is φ = 215239680.

The previous prime is 836464319. The next prime is 836464373. The reversal of 836464320 is 23464638.

It is a happy number.

836464320 is a `hidden beast` number, since 8 + 3 + 6 + 4 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410387 + ... + 2410733.

It is an arithmetic number, because the mean of its divisors is an integer number (9192768).

Almost surely, 2^836464320 is an apocalyptic number.

836464320 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 836464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544385024).

836464320 is an abundant number, since it is smaller than the sum of its proper divisors (2252305728).

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

836464320 is a wasteful number, since it uses less digits than its factorization.

836464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 836464320 is about 28921.6928965094. The cubic root of 836464320 is about 942.2131044501.

The spelling of 836464320 in words is "eight hundred thirty-six million, four hundred sixty-four thousand, three hundred twenty".