76284936 has 128 divisors (see below), whose sum is σ = 260870400. Its totient is φ = 20113920.

The previous prime is 76284931. The next prime is 76284947. The reversal of 76284936 is 63948267.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 76284891 and 76284900.

It is not an unprimeable number, because it can be changed into a prime (76284931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17716 + ... + 21596.

It is an arithmetic number, because the mean of its divisors is an integer number (2038050).

Almost surely, 2^76284936 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 76284936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130435200).

76284936 is an abundant number, since it is smaller than the sum of its proper divisors (184585464).

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

76284936 is a wasteful number, since it uses less digits than its factorization.

76284936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3906 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 76284936 is about 8734.1247987420. The cubic root of 76284936 is about 424.1110572975. Note that the first 3 decimals are identical.

The spelling of 76284936 in words is "seventy-six million, two hundred eighty-four thousand, nine hundred thirty-six".