766705680 has 180 divisors, whose sum is σ = 2788597188. Its totient is φ = 188697600.

The previous prime is 766705669. The next prime is 766705717. The reversal of 766705680 is 86507667.

It can be written as a sum of positive squares in 6 ways, for example, as 117679104 + 649026576 = 10848^2 + 25476^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118530 + ... + 124830.

Almost surely, 2^766705680 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 766705680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394298594).

766705680 is an abundant number, since it is smaller than the sum of its proper divisors (2021891508).

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

766705680 is a wasteful number, since it uses less digits than its factorization.

766705680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 766705680 is about 27689.4506987770. The cubic root of 766705680 is about 915.2566511075.

The spelling of 766705680 in words is "seven hundred sixty-six million, seven hundred five thousand, six hundred eighty".