766410951601 has 27 divisors (see below), whose sum is σ = 851462852331. Its totient is φ = 689657711424.

The previous prime is 766410951589. The next prime is 766410951641. The reversal of 766410951601 is 106159014667.

The square root of 766410951601 is 875449.

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

766410951601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 596686727025 + 169724224576 = 772455^2 + 411976^2 .

It is not a de Polignac number, because 766410951601 - 2¹³ = 766410943409 is a prime.

It is a super-3 number, since 3×766410951601³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766410951641) 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, 342299440 + ... + 342301678.

Almost surely, 2^766410951601 is an apocalyptic number.

766410951601 is the 875449-th square number.

766410951601 is the 437725-th centered octagonal number.

It is an amenable number.

766410951601 is a deficient number, since it is larger than the sum of its proper divisors (85051900730).

766410951601 is an frugal number, since it uses more digits than its factorization.

766410951601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 766410951601 in words is "seven hundred sixty-six billion, four hundred ten million, nine hundred fifty-one thousand, six hundred one".