766140880 has 80 divisors (see below), whose sum is σ = 1807076304. Its totient is φ = 302059520.

The previous prime is 766140877. The next prime is 766140923. The reversal of 766140880 is 88041667.

It can be written as a sum of positive squares in 8 ways, for example, as 230310976 + 535829904 = 15176^2 + 23148^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2726340 + ... + 2726620.

Almost surely, 2^766140880 is an apocalyptic number.

766140880 is the 13840-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903538152).

766140880 is an abundant number, since it is smaller than the sum of its proper divisors (1040935424).

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

766140880 is a wasteful number, since it uses less digits than its factorization.

766140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 766140880 is about 27679.2499898390. The cubic root of 766140880 is about 915.0318521365.

The spelling of 766140880 in words is "seven hundred sixty-six million, one hundred forty thousand, eight hundred eighty".