832075340800 has 264 divisors, whose sum is σ = 2254160166480. Its totient is φ = 302019379200.

The previous prime is 832075340749. The next prime is 832075340839. The reversal of 832075340800 is 8043570238.

It is a super-2 number, since 2×832075340800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 173744806 + ... + 173749594.

Almost surely, 2^832075340800 is an apocalyptic number.

832075340800 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 832075340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127080083240).

832075340800 is an abundant number, since it is smaller than the sum of its proper divisors (1422084825680).

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

832075340800 is a wasteful number, since it uses less digits than its factorization.

832075340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 832075340800 in words is "eight hundred thirty-two billion, seventy-five million, three hundred forty thousand, eight hundred".