766126992 has 80 divisors (see below), whose sum is σ = 2014791680. Its totient is φ = 250822656.

The previous prime is 766126979. The next prime is 766126993. The reversal of 766126992 is 299621667.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (766126993) 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, 663888 + ... + 665040.

It is an arithmetic number, because the mean of its divisors is an integer number (25184896).

Almost surely, 2^766126992 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 766126992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007395840).

766126992 is an abundant number, since it is smaller than the sum of its proper divisors (1248664688).

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

766126992 is a wasteful number, since it uses less digits than its factorization.

766126992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 766126992 is about 27678.9991148524. Note that the first 3 decimals coincide. The cubic root of 766126992 is about 915.0263231103.

The spelling of 766126992 in words is "seven hundred sixty-six million, one hundred twenty-six thousand, nine hundred ninety-two".