767812864 has 144 divisors (see below), whose sum is σ = 1969696512. Its totient is φ = 290340864.

The previous prime is 767812849. The next prime is 767812883. The reversal of 767812864 is 468218767.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535092 + ... + 536524.

It is an arithmetic number, because the mean of its divisors is an integer number (13678448).

Almost surely, 2^767812864 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 767812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984848256).

767812864 is an abundant number, since it is smaller than the sum of its proper divisors (1201883648).

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

767812864 is a wasteful number, since it uses less digits than its factorization.

767812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1478 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 767812864 is about 27709.4363710271. The cubic root of 767812864 is about 915.6970070128.

The spelling of 767812864 in words is "seven hundred sixty-seven million, eight hundred twelve thousand, eight hundred sixty-four".