76985436 has 48 divisors (see below), whose sum is σ = 200148480. Its totient is φ = 22830720.

The previous prime is 76985423. The next prime is 76985443. The reversal of 76985436 is 63458967.

76985436 is a nontrivial binomial coefficient, being equal to C(12409, 2).

It is a super-2 number, since 2×76985436² = 11853514712220192, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 12408.

It is an arithmetic number, because the mean of its divisors is an integer number (4169760).

Almost surely, 2^76985436 is an apocalyptic number.

76985436 is the 12408-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76985436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100074240).

76985436 is an abundant number, since it is smaller than the sum of its proper divisors (123163044).

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

76985436 is a wasteful number, since it uses less digits than its factorization.

76985436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12474 (or 12472 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 76985436 is about 8774.1344872301. The cubic root of 76985436 is about 425.4052623401.

It can be divided in two parts, 76985 and 436, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 76985436 in words is "seventy-six million, nine hundred eighty-five thousand, four hundred thirty-six".