736280832 has 144 divisors (see below), whose sum is σ = 2256837632. Its totient is φ = 208742400.

The previous prime is 736280821. The next prime is 736280833. The reversal of 736280832 is 238082637.

It is a happy number.

It is a super-2 number, since 2×736280832² = 1084218927141224448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (736280833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811323 + ... + 812229.

Almost surely, 2^736280832 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 736280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128418816).

736280832 is an abundant number, since it is smaller than the sum of its proper divisors (1520556800).

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

736280832 is a wasteful number, since it uses less digits than its factorization.

736280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 736280832 is about 27134.4952412976. The cubic root of 736280832 is about 902.9863072773.

The spelling of 736280832 in words is "seven hundred thirty-six million, two hundred eighty thousand, eight hundred thirty-two".