76822128 has 80 divisors (see below), whose sum is σ = 223398400. Its totient is φ = 25272000.

The previous prime is 76822127. The next prime is 76822129. The reversal of 76822128 is 82122867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76822127) and next prime (76822129).

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

It is a junction number, because it is equal to n+sod(n) for n = 76822092 and 76822101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76822127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33003 + ... + 35253.

It is an arithmetic number, because the mean of its divisors is an integer number (2792480).

Almost surely, 2^76822128 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 76822128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111699200).

76822128 is an abundant number, since it is smaller than the sum of its proper divisors (146576272).

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

76822128 is a wasteful number, since it uses less digits than its factorization.

76822128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2335 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 76822128 is about 8764.8233296513. The cubic root of 76822128 is about 425.1042475529.

The spelling of 76822128 in words is "seventy-six million, eight hundred twenty-two thousand, one hundred twenty-eight".