76636840 has 64 divisors (see below), whose sum is σ = 198236160. Its totient is φ = 26119680.

The previous prime is 76636817. The next prime is 76636853. The reversal of 76636840 is 4863667.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 76636793 and 76636802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52764 + ... + 54196.

It is an arithmetic number, because the mean of its divisors is an integer number (3097440).

Almost surely, 2^76636840 is an apocalyptic number.

76636840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76636840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99118080).

76636840 is an abundant number, since it is smaller than the sum of its proper divisors (121599320).

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

76636840 is a wasteful number, since it uses less digits than its factorization.

76636840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 76636840 is about 8754.2469693287. The cubic root of 76636840 is about 424.7622014571.

The spelling of 76636840 in words is "seventy-six million, six hundred thirty-six thousand, eight hundred forty".