766476984 has 128 divisors (see below), whose sum is σ = 2434682880. Its totient is φ = 195609600.

The previous prime is 766476979. The next prime is 766477007. The reversal of 766476984 is 489674667.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62044 + ... + 73364.

It is an arithmetic number, because the mean of its divisors is an integer number (19020960).

Almost surely, 2^766476984 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 766476984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217341440).

766476984 is an abundant number, since it is smaller than the sum of its proper divisors (1668205896).

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

766476984 is a wasteful number, since it uses less digits than its factorization.

766476984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11381 (or 11377 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The square root of 766476984 is about 27685.3207313912. The cubic root of 766476984 is about 915.1656399343.

It can be divided in two parts, 7664 and 76984, that added together give a palindrome (84648).

The spelling of 766476984 in words is "seven hundred sixty-six million, four hundred seventy-six thousand, nine hundred eighty-four".