767430464 has 56 divisors (see below), whose sum is σ = 1559234880. Its totient is φ = 374644736.

The previous prime is 767430457. The next prime is 767430467. The reversal of 767430464 is 464034767.

767430464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (767430467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629984 + ... + 631200.

It is an arithmetic number, because the mean of its divisors is an integer number (27843480).

Almost surely, 2^767430464 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 767430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779617440).

767430464 is an abundant number, since it is smaller than the sum of its proper divisors (791804416).

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

767430464 is a wasteful number, since it uses less digits than its factorization.

767430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The square root of 767430464 is about 27702.5353352360. The cubic root of 767430464 is about 915.5449644603.

The spelling of 767430464 in words is "seven hundred sixty-seven million, four hundred thirty thousand, four hundred sixty-four".