769113000 has 192 divisors, whose sum is σ = 2629383120. Its totient is φ = 202752000.

The previous prime is 769112999. The next prime is 769113049. The reversal of 769113000 is 311967.

It can be written as a sum of positive squares in 8 ways, for example, as 381924 + 768731076 = 618^2 + 27726^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872560 + ... + 873440.

Almost surely, 2^769113000 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 769113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314691560).

769113000 is an abundant number, since it is smaller than the sum of its proper divisors (1860270120).

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

769113000 is a wasteful number, since it uses less digits than its factorization.

769113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 769113000 is about 27732.8866149920. The cubic root of 769113000 is about 916.2135648690.

Adding to 769113000 its reverse (311967), we get a palindrome (769424967).

The spelling of 769113000 in words is "seven hundred sixty-nine million, one hundred thirteen thousand".