782801000832 has 128 divisors (see below), whose sum is σ = 2208667534560. Its totient is φ = 244799373312.

The previous prime is 782801000831. The next prime is 782801000911. The reversal of 782801000832 is 238000108287.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×782801000832² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782801000831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851708 + ... + 2234820.

Almost surely, 2^782801000832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782801000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104333767280).

782801000832 is an abundant number, since it is smaller than the sum of its proper divisors (1425866533728).

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

782801000832 is a wasteful number, since it uses less digits than its factorization.

782801000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383460 (or 383448 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 782801000832 in words is "seven hundred eighty-two billion, eight hundred one million, eight hundred thirty-two", and thus it is an aban number.