767988672 has 112 divisors (see below), whose sum is σ = 2293315200. Its totient is φ = 224680960.

The previous prime is 767988631. The next prime is 767988677. The reversal of 767988672 is 276889767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767988677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54979 + ... + 67517.

Almost surely, 2^767988672 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 767988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146657600).

767988672 is an abundant number, since it is smaller than the sum of its proper divisors (1525326528).

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

767988672 is a wasteful number, since it uses less digits than its factorization.

767988672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12594 (or 12584 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 60.

The square root of 767988672 is about 27712.6085383531. The cubic root of 767988672 is about 915.7668914778.

The spelling of 767988672 in words is "seven hundred sixty-seven million, nine hundred eighty-eight thousand, six hundred seventy-two".