769904640 has 156 divisors (see below), whose sum is σ = 2669315844. Its totient is φ = 205258752.

The previous prime is 769904627. The next prime is 769904651. The reversal of 769904640 is 46409967.

It can be written as a sum of positive squares in 2 ways, for example, as 522031104 + 247873536 = 22848^2 + 15744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182232 + ... + 186408.

It is an arithmetic number, because the mean of its divisors is an integer number (17110999).

Almost surely, 2^769904640 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 769904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334657922).

769904640 is an abundant number, since it is smaller than the sum of its proper divisors (1899411204).

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

769904640 is a wasteful number, since it uses less digits than its factorization.

769904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 769904640 is about 27747.1555298917. The cubic root of 769904640 is about 916.5278067714.

The spelling of 769904640 in words is "seven hundred sixty-nine million, nine hundred four thousand, six hundred forty".