763140105 has 96 divisors (see below), whose sum is σ = 1639782144. Its totient is φ = 319707648.

The previous prime is 763140101. The next prime is 763140121. The reversal of 763140105 is 501041367.

It is not a de Polignac number, because 763140105 - 2² = 763140101 is a prime.

It is a super-3 number, since 3×763140105³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (763140101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642322 + ... + 643508.

It is an arithmetic number, because the mean of its divisors is an integer number (17081064).

Almost surely, 2^763140105 is an apocalyptic number.

It is an amenable number.

763140105 is an abundant number, since it is smaller than the sum of its proper divisors (876642039).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

763140105 is a wasteful number, since it uses less digits than its factorization.

763140105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 763140105 is about 27624.9905882337. The cubic root of 763140105 is about 913.8356415931.

The spelling of 763140105 in words is "seven hundred sixty-three million, one hundred forty thousand, one hundred five".