767329680 has 480 divisors, whose sum is σ = 2916313344. Its totient is φ = 165445632.

The previous prime is 767329631. The next prime is 767329681. The reversal of 767329680 is 86923767.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (767329681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20738622 + ... + 20738658.

Almost surely, 2^767329680 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 767329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458156672).

767329680 is an abundant number, since it is smaller than the sum of its proper divisors (2148983664).

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

767329680 is a wasteful number, since it uses less digits than its factorization.

767329680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 767329680 is about 27700.7162362275. The cubic root of 767329680 is about 915.5048842500.

The spelling of 767329680 in words is "seven hundred sixty-seven million, three hundred twenty-nine thousand, six hundred eighty".