769606992 has 240 divisors, whose sum is σ = 2773155840. Its totient is φ = 193363200.

The previous prime is 769606967. The next prime is 769606997. The reversal of 769606992 is 299606967.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769606997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342609 + ... + 344847.

It is an arithmetic number, because the mean of its divisors is an integer number (11554816).

Almost surely, 2^769606992 is an apocalyptic number.

769606992 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 769606992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386577920).

769606992 is an abundant number, since it is smaller than the sum of its proper divisors (2003548848).

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

769606992 is a wasteful number, since it uses less digits than its factorization.

769606992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 769606992 is about 27741.7914345848. The cubic root of 769606992 is about 916.4096805267.

The spelling of 769606992 in words is "seven hundred sixty-nine million, six hundred six thousand, nine hundred ninety-two".