720824832 has 400 divisors, whose sum is σ = 2661829632. Its totient is φ = 189112320.

The previous prime is 720824827. The next prime is 720824843. The reversal of 720824832 is 238428027.

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 39 ways as a sum of consecutive naturals, for example, 3773857 + ... + 3774047.

Almost surely, 2^720824832 is an apocalyptic number.

720824832 is a gapful number since it is divisible by the number (72) 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 720824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330914816).

720824832 is an abundant number, since it is smaller than the sum of its proper divisors (1941004800).

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

720824832 is a wasteful number, since it uses less digits than its factorization.

720824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 720824832 is about 26848.1811674460. The cubic root of 720824832 is about 896.6230785154.

The spelling of 720824832 in words is "seven hundred twenty million, eight hundred twenty-four thousand, eight hundred thirty-two".