769117440 has 576 divisors, whose sum is σ = 3164700672. Its totient is φ = 154828800.

The previous prime is 769117429. The next prime is 769117469. The reversal of 769117440 is 44711967.

769117440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10832605 + ... + 10832675.

It is an arithmetic number, because the mean of its divisors is an integer number (5494272).

Almost surely, 2^769117440 is an apocalyptic number.

769117440 is a gapful number since it is divisible by the number (70) 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 769117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582350336).

769117440 is an abundant number, since it is smaller than the sum of its proper divisors (2395583232).

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

769117440 is a wasteful number, since it uses less digits than its factorization.

769117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 769117440 is about 27732.9666642428. The cubic root of 769117440 is about 916.2153279304.

The spelling of 769117440 in words is "seven hundred sixty-nine million, one hundred seventeen thousand, four hundred forty".