768327672 has 64 divisors (see below), whose sum is σ = 2202520320. Its totient is φ = 218792448.

The previous prime is 768327649. The next prime is 768327787. The reversal of 768327672 is 276723867.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44128 + ... + 59024.

It is an arithmetic number, because the mean of its divisors is an integer number (34414380).

Almost surely, 2^768327672 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 768327672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101260160).

768327672 is an abundant number, since it is smaller than the sum of its proper divisors (1434192648).

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

768327672 is a wasteful number, since it uses less digits than its factorization.

768327672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15220 (or 15216 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 768327672 is about 27718.7242130658. The cubic root of 768327672 is about 915.9016153875.

The spelling of 768327672 in words is "seven hundred sixty-eight million, three hundred twenty-seven thousand, six hundred seventy-two".