769505040 has 60 divisors (see below), whose sum is σ = 2584256844. Its totient is φ = 205201152.

The previous prime is 769505003. The next prime is 769505041. The reversal of 769505040 is 40505967.

It can be written as a sum of positive squares in 2 ways, for example, as 431974656 + 337530384 = 20784^2 + 18372^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 769504986 and 769505004.

It is not an unprimeable number, because it can be changed into a prime (769505041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533659 + ... + 535098.

Almost surely, 2^769505040 is an apocalyptic number.

It is an amenable number.

769505040 is an abundant number, since it is smaller than the sum of its proper divisors (1814751804).

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

769505040 is a wasteful number, since it uses less digits than its factorization.

769505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068776 (or 1068767 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 769505040 is about 27739.9538572075. The cubic root of 769505040 is about 916.3692122848.

The spelling of 769505040 in words is "seven hundred sixty-nine million, five hundred five thousand, forty".