76985435 has 32 divisors (see below), whose sum is σ = 104535360. Its totient is φ = 54079488.

The previous prime is 76985423. The next prime is 76985443. The reversal of 76985435 is 53458967.

76985435 = T₁₂₁ + T₁₂₂ + ... + T₇₇₃.

It is a cyclic number.

It is not a de Polignac number, because 76985435 - 2²⁰ = 75936859 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 76985435.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117569 + ... + 118221.

It is an arithmetic number, because the mean of its divisors is an integer number (3266730).

Almost surely, 2^76985435 is an apocalyptic number.

76985435 is a deficient number, since it is larger than the sum of its proper divisors (27549925).

76985435 is a wasteful number, since it uses less digits than its factorization.

76985435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767.

The product of its digits is 907200, while the sum is 47.

The square root of 76985435 is about 8774.1344302444. The cubic root of 76985435 is about 425.4052604982.

The spelling of 76985435 in words is "seventy-six million, nine hundred eighty-five thousand, four hundred thirty-five".