761820257 has 24 divisors (see below), whose sum is σ = 904186080. Its totient is φ = 634780800.

The previous prime is 761820253. The next prime is 761820259. The reversal of 761820257 is 752028167.

It is not a de Polignac number, because 761820257 - 2² = 761820253 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 761820257.

It is not an unprimeable number, because it can be changed into a prime (761820253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198953 + ... + 202745.

It is an arithmetic number, because the mean of its divisors is an integer number (37674420).

Almost surely, 2^761820257 is an apocalyptic number.

It is an amenable number.

761820257 is a deficient number, since it is larger than the sum of its proper divisors (142365823).

761820257 is a wasteful number, since it uses less digits than its factorization.

761820257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 761820257 is about 27601.0915907324. The cubic root of 761820257 is about 913.3085124618.

The spelling of 761820257 in words is "seven hundred sixty-one million, eight hundred twenty thousand, two hundred fifty-seven".