76985136 has 60 divisors (see below), whose sum is σ = 220479688. Its totient is φ = 25062912.

The previous prime is 76985113. The next prime is 76985137. The reversal of 76985136 is 63158967.

It is a happy number.

It is a super-2 number, since 2×76985136² = 11853422329876992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76985091 and 76985100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76985137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 12408.

Almost surely, 2^76985136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76985136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110239844).

76985136 is an abundant number, since it is smaller than the sum of its proper divisors (143494552).

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

76985136 is a wasteful number, since it uses less digits than its factorization.

76985136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12490 (or 12481 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 76985136 is about 8774.1173915101. The cubic root of 76985136 is about 425.4047097605.

It can be divided in two parts, 769 and 85136, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 76985136 in words is "seventy-six million, nine hundred eighty-five thousand, one hundred thirty-six".