761401257 has 16 divisors (see below), whose sum is σ = 1024258752. Its totient is φ = 503092800.

The previous prime is 761401241. The next prime is 761401331. The reversal of 761401257 is 752104167.

761401257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 761401257 - 2⁴ = 761401241 is a prime.

It is a super-2 number, since 2×761401257² = 1159463748322360098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (761401217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161382 + ... + 166032.

It is an arithmetic number, because the mean of its divisors is an integer number (64016172).

Almost surely, 2^761401257 is an apocalyptic number.

It is an amenable number.

761401257 is a deficient number, since it is larger than the sum of its proper divisors (262857495).

761401257 is a wasteful number, since it uses less digits than its factorization.

761401257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 761401257 is about 27593.5002672731. The cubic root of 761401257 is about 913.1410423174.

The spelling of 761401257 in words is "seven hundred sixty-one million, four hundred one thousand, two hundred fifty-seven".