766612770 has 256 divisors, whose sum is σ = 2452488192. Its totient is φ = 148642560.

The previous prime is 766612751. The next prime is 766612771. The reversal of 766612770 is 77216667.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (766612771) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2496957 + ... + 2497263.

It is an arithmetic number, because the mean of its divisors is an integer number (9580032).

Almost surely, 2^766612770 is an apocalyptic number.

766612770 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 766612770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226244096).

766612770 is an abundant number, since it is smaller than the sum of its proper divisors (1685875422).

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

766612770 is a wasteful number, since it uses less digits than its factorization.

766612770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405.

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 766612770 is about 27687.7729331920. The cubic root of 766612770 is about 915.2196791061.

The spelling of 766612770 in words is "seven hundred sixty-six million, six hundred twelve thousand, seven hundred seventy".