76214092761 has 27 divisors (see below), whose sum is σ = 115110289567. Its totient is φ = 48588144000.

The previous prime is 76214092753. The next prime is 76214092781. The reversal of 76214092761 is 16729041267.

The square root of 76214092761 is 276069.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3054662361 + 73159430400 = 55269^2 + 270480^2 .

It is not a de Polignac number, because 76214092761 - 2³ = 76214092753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76214092781) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19046761 + ... + 19050761.

Almost surely, 2^76214092761 is an apocalyptic number.

76214092761 is the 276069-th square number.

76214092761 is the 138035-th centered octagonal number.

It is an amenable number.

76214092761 is a deficient number, since it is larger than the sum of its proper divisors (38896196806).

76214092761 is an frugal number, since it uses more digits than its factorization.

76214092761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 76214092761 in words is "seventy-six billion, two hundred fourteen million, ninety-two thousand, seven hundred sixty-one".