766705632 has 384 divisors, whose sum is σ = 2717245440. Its totient is φ = 183306240.

The previous prime is 766705607. The next prime is 766705633. The reversal of 766705632 is 236507667.

It is a super-2 number, since 2×766705632² = 1175675052281038848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766705633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7443693 + ... + 7443795.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2^766705632 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 766705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

766705632 is an abundant number, since it is smaller than the sum of its proper divisors (1950539808).

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

766705632 is a wasteful number, since it uses less digits than its factorization.

766705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 766705632 is about 27689.4498320209. The cubic root of 766705632 is about 915.2566320075.

The spelling of 766705632 in words is "seven hundred sixty-six million, seven hundred five thousand, six hundred thirty-two".