826096320 has 560 divisors, whose sum is σ = 3496299840. Its totient is φ = 181149696.

The previous prime is 826096301. The next prime is 826096363. The reversal of 826096320 is 23690628.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5261682 + ... + 5261838.

Almost surely, 2^826096320 is an apocalyptic number.

826096320 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 826096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748149920).

826096320 is an abundant number, since it is smaller than the sum of its proper divisors (2670203520).

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

826096320 is a wasteful number, since it uses less digits than its factorization.

826096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 826096320 is about 28741.8913782653. The cubic root of 826096320 is about 938.3039887119.

The spelling of 826096320 in words is "eight hundred twenty-six million, ninety-six thousand, three hundred twenty".