76226784 has 144 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 22733568.

The previous prime is 76226783. The next prime is 76226789. The reversal of 76226784 is 48762267.

Its product of digits (225792) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76226783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964857 + ... + 964935.

It is an arithmetic number, because the mean of its divisors is an integer number (1548400).

Almost surely, 2^76226784 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 76226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484800).

76226784 is an abundant number, since it is smaller than the sum of its proper divisors (146742816).

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

76226784 is a wasteful number, since it uses less digits than its factorization.

76226784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 76226784 is about 8730.7951527911. The cubic root of 76226784 is about 424.0032632952.

The spelling of 76226784 in words is "seventy-six million, two hundred twenty-six thousand, seven hundred eighty-four".