769503347325 has 480 divisors, whose sum is σ = 1626135920640. Its totient is φ = 357814195200.

The previous prime is 769503347309. The next prime is 769503347357. The reversal of 769503347325 is 523743305967.

769503347325 is a `hidden beast` number, since 7 + 69 + 503 + 3 + 4 + 73 + 2 + 5 = 666.

It is not a de Polignac number, because 769503347325 - 2⁴ = 769503347309 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4607804392 + ... + 4607804558.

It is an arithmetic number, because the mean of its divisors is an integer number (3387783168).

Almost surely, 2^769503347325 is an apocalyptic number.

769503347325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

769503347325 is an abundant number, since it is smaller than the sum of its proper divisors (856632573315).

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

769503347325 is a wasteful number, since it uses less digits than its factorization.

769503347325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 769503347325 in words is "seven hundred sixty-nine billion, five hundred three million, three hundred forty-seven thousand, three hundred twenty-five".