76833820 has 48 divisors (see below), whose sum is σ = 186762240. Its totient is φ = 26005824.

The previous prime is 76833769. The next prime is 76833821. The reversal of 76833820 is 2833867.

It is a self number, because there is not a number n which added to its sum of digits gives 76833820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76833821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7587 + ... + 14533.

It is an arithmetic number, because the mean of its divisors is an integer number (3890880).

Almost surely, 2^76833820 is an apocalyptic number.

76833820 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 76833820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93381120).

76833820 is an abundant number, since it is smaller than the sum of its proper divisors (109928420).

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

76833820 is a wasteful number, since it uses less digits than its factorization.

76833820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 76833820 is about 8765.4902886262. The cubic root of 76833820 is about 425.1258128096.

The spelling of 76833820 in words is "seventy-six million, eight hundred thirty-three thousand, eight hundred twenty".