766734560 has 96 divisors (see below), whose sum is σ = 1849236480. Its totient is φ = 300367872.

The previous prime is 766734497. The next prime is 766734583. The reversal of 766734560 is 65437667.

766734560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1970846 + ... + 1971234.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2^766734560 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 766734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

766734560 is an abundant number, since it is smaller than the sum of its proper divisors (1082501920).

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

766734560 is a wasteful number, since it uses less digits than its factorization.

766734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The square root of 766734560 is about 27689.9721921132. The cubic root of 766734560 is about 915.2681428185.

The spelling of 766734560 in words is "seven hundred sixty-six million, seven hundred thirty-four thousand, five hundred sixty".