766682560 has 112 divisors (see below), whose sum is σ = 2107362816. Its totient is φ = 260232192.

The previous prime is 766682557. The next prime is 766682563. The reversal of 766682560 is 65286667.

It is an interprime number because it is at equal distance from previous prime (766682557) and next prime (766682563).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 766682560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766682563) 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, 229059 + ... + 232381.

Almost surely, 2^766682560 is an apocalyptic number.

766682560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053681408).

766682560 is an abundant number, since it is smaller than the sum of its proper divisors (1340680256).

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

766682560 is a wasteful number, since it uses less digits than its factorization.

766682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 766682560 is about 27689.0332081133. The cubic root of 766682560 is about 915.2474511642.

The spelling of 766682560 in words is "seven hundred sixty-six million, six hundred eighty-two thousand, five hundred sixty".