766346988 has 96 divisors (see below), whose sum is σ = 2088576000. Its totient is φ = 216233280.

The previous prime is 766346963. The next prime is 766347017. The reversal of 766346988 is 889643667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145383 + ... + 150561.

It is an arithmetic number, because the mean of its divisors is an integer number (21756000).

Almost surely, 2^766346988 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 766346988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044288000).

766346988 is an abundant number, since it is smaller than the sum of its proper divisors (1322229012).

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

766346988 is a wasteful number, since it uses less digits than its factorization.

766346988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5273 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 766346988 is about 27682.9728894857. The cubic root of 766346988 is about 915.1138990465.

The spelling of 766346988 in words is "seven hundred sixty-six million, three hundred forty-six thousand, nine hundred eighty-eight".