769820112 has 240 divisors, whose sum is σ = 2494215360. Its totient is φ = 228427776.

The previous prime is 769820089. The next prime is 769820119. The reversal of 769820112 is 211028967.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769820119) 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, 1255518 + ... + 1256130.

It is an arithmetic number, because the mean of its divisors is an integer number (10392564).

Almost surely, 2^769820112 is an apocalyptic number.

769820112 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 769820112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247107680).

769820112 is an abundant number, since it is smaller than the sum of its proper divisors (1724395248).

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

769820112 is a wasteful number, since it uses less digits than its factorization.

769820112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 769820112 is about 27745.6323049232. The cubic root of 769820112 is about 916.4942636139.

The spelling of 769820112 in words is "seven hundred sixty-nine million, eight hundred twenty thousand, one hundred twelve".