766222464 has 128 divisors (see below), whose sum is σ = 2364670080. Its totient is φ = 215285760.

The previous prime is 766222463. The next prime is 766222489. The reversal of 766222464 is 464222667.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (766222463) 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, 161632 + ... + 166304.

It is an arithmetic number, because the mean of its divisors is an integer number (18473985).

Almost surely, 2^766222464 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 766222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182335040).

766222464 is an abundant number, since it is smaller than the sum of its proper divisors (1598447616).

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

766222464 is a wasteful number, since it uses less digits than its factorization.

766222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4746 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 766222464 is about 27680.7236899616. The cubic root of 766222464 is about 915.0643306318.

The spelling of 766222464 in words is "seven hundred sixty-six million, two hundred twenty-two thousand, four hundred sixty-four".