761177666401 has 16 divisors (see below), whose sum is σ = 791613568000. Its totient is φ = 731127513600.

The previous prime is 761177666363. The next prime is 761177666407. The reversal of 761177666401 is 104666771167.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 761177666401 - 2¹¹ = 761177664353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (761177666407) 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, 2372281 + ... + 2673961.

It is an arithmetic number, because the mean of its divisors is an integer number (49475848000).

Almost surely, 2^761177666401 is an apocalyptic number.

It is an amenable number.

761177666401 is a deficient number, since it is larger than the sum of its proper divisors (30435901599).

761177666401 is a wasteful number, since it uses less digits than its factorization.

761177666401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302320.

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 761177666401 in words is "seven hundred sixty-one billion, one hundred seventy-seven million, six hundred sixty-six thousand, four hundred one".