76346820 has 96 divisors (see below), whose sum is σ = 259136640. Its totient is φ = 18506880.

The previous prime is 76346789. The next prime is 76346827. The reversal of 76346820 is 2864367.

It is a super-2 number, since 2×76346820² = 11657673848224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76346827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 487 + ... + 12366.

It is an arithmetic number, because the mean of its divisors is an integer number (2699340).

Almost surely, 2^76346820 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 76346820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129568320).

76346820 is an abundant number, since it is smaller than the sum of its proper divisors (182789820).

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

76346820 is a wasteful number, since it uses less digits than its factorization.

76346820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882 (or 12874 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76346820 is about 8737.6667366065. Note that the first 3 decimals coincide. The cubic root of 76346820 is about 424.2257090064.

The spelling of 76346820 in words is "seventy-six million, three hundred forty-six thousand, eight hundred twenty".