766056690 has 120 divisors (see below), whose sum is σ = 2396266092. Its totient is φ = 175089600.

The previous prime is 766056679. The next prime is 766056749. The reversal of 766056690 is 96650667.

766056690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 764909649 + 1147041 = 27657^2 + 1071^2 .

It is a super-2 number, since 2×766056690² = 1173685704587512200, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 30040 + ... + 49340.

Almost surely, 2^766056690 is an apocalyptic number.

766056690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 766056690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198133046).

766056690 is an abundant number, since it is smaller than the sum of its proper divisors (1630209402).

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

766056690 is a wasteful number, since it uses less digits than its factorization.

766056690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19334 (or 19318 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 766056690 is about 27677.7291337277. The cubic root of 766056690 is about 914.9983337782.

The spelling of 766056690 in words is "seven hundred sixty-six million, fifty-six thousand, six hundred ninety".