766523264 has 64 divisors (see below), whose sum is σ = 1651453440. Its totient is φ = 352290816.

The previous prime is 766523237. The next prime is 766523281. The reversal of 766523264 is 462325667.

766523264 = T₁ + T₂ + ... + T₁₆₆₂.

766523264 is a nontrivial binomial coefficient, being equal to C(1664, 3).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is the 1662-nd tetrahedral 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 7 ways as a sum of consecutive naturals, for example, 460097 + ... + 461759.

It is an arithmetic number, because the mean of its divisors is an integer number (25803960).

Almost surely, 2^766523264 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 766523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825726720).

766523264 is an abundant number, since it is smaller than the sum of its proper divisors (884930176).

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

766523264 is a wasteful number, since it uses less digits than its factorization.

766523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1955 counting only the distinct ones).

The product of its digits is 362880, while the sum is 41.

The square root of 766523264 is about 27686.1565407696. The cubic root of 766523264 is about 915.1840588450.

The spelling of 766523264 in words is "seven hundred sixty-six million, five hundred twenty-three thousand, two hundred sixty-four".