766996992 has 160 divisors (see below), whose sum is σ = 2295120960. Its totient is φ = 252887040.

The previous prime is 766996987. The next prime is 766996999. The reversal of 766996992 is 299699667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766996999) 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, 1561867 + ... + 1562357.

It is an arithmetic number, because the mean of its divisors is an integer number (14344506).

Almost surely, 2^766996992 is an apocalyptic number.

766996992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147560480).

766996992 is an abundant number, since it is smaller than the sum of its proper divisors (1528123968).

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

766996992 is a wasteful number, since it uses less digits than its factorization.

766996992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 609 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 766996992 is about 27694.7105419067. The cubic root of 766996992 is about 915.3725545506.

The spelling of 766996992 in words is "seven hundred sixty-six million, nine hundred ninety-six thousand, nine hundred ninety-two".