76222300 has 144 divisors (see below), whose sum is σ = 217486080. Its totient is φ = 22464000.

The previous prime is 76222247. The next prime is 76222313. The reversal of 76222300 is 322267.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 146040 + ... + 146560.

It is an arithmetic number, because the mean of its divisors is an integer number (1510320).

Almost surely, 2^76222300 is an apocalyptic number.

76222300 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 76222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108743040).

76222300 is an abundant number, since it is smaller than the sum of its proper divisors (141263780).

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

76222300 is a wasteful number, since it uses less digits than its factorization.

76222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 76222300 is about 8730.5383568254. The cubic root of 76222300 is about 423.9949492100.

Adding to 76222300 its reverse (322267), we get a palindrome (76544567).

The spelling of 76222300 in words is "seventy-six million, two hundred twenty-two thousand, three hundred".