766864720 has 80 divisors (see below), whose sum is σ = 1819490688. Its totient is φ = 300531200.

The previous prime is 766864667. The next prime is 766864727. The reversal of 766864720 is 27468667.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766864727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864117 + ... + 865003.

Almost surely, 2^766864720 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 766864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909745344).

766864720 is an abundant number, since it is smaller than the sum of its proper divisors (1052625968).

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

766864720 is a wasteful number, since it uses less digits than its factorization.

766864720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 766864720 is about 27692.3224017055. The cubic root of 766864720 is about 915.3199315196.

It can be divided in two parts, 7668647 and 20, that added together give a palindrome (7668667).

The spelling of 766864720 in words is "seven hundred sixty-six million, eight hundred sixty-four thousand, seven hundred twenty".