767228832 has 72 divisors (see below), whose sum is σ = 2211755364. Its totient is φ = 252232704.

The previous prime is 767228809. The next prime is 767228837. The reversal of 767228832 is 238822767.

It can be written as a sum of positive squares in 2 ways, for example, as 714172176 + 53056656 = 26724^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (767228837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2778 + ... + 39270.

Almost surely, 2^767228832 is an apocalyptic number.

767228832 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 767228832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105877682).

767228832 is an abundant number, since it is smaller than the sum of its proper divisors (1444526532).

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

767228832 is a wasteful number, since it uses less digits than its factorization.

767228832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36582 (or 36571 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 767228832 is about 27698.8958624708. The cubic root of 767228832 is about 915.4647750748.

The spelling of 767228832 in words is "seven hundred sixty-seven million, two hundred twenty-eight thousand, eight hundred thirty-two".