226776780 has 288 divisors, whose sum is σ = 800755200. Its totient is φ = 53032320.

The previous prime is 226776779. The next prime is 226776791. The reversal of 226776780 is 87677622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 7315365 + ... + 7315395.

It is an arithmetic number, because the mean of its divisors is an integer number (2780400).

Almost surely, 2^226776780 is an apocalyptic number.

226776780 is a gapful number since it is divisible by the number (20) 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 226776780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400377600).

226776780 is an abundant number, since it is smaller than the sum of its proper divisors (573978420).

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

226776780 is a wasteful number, since it uses less digits than its factorization.

226776780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 226776780 is about 15059.1095354274. The cubic root of 226776780 is about 609.8170014532.

The spelling of 226776780 in words is "two hundred twenty-six million, seven hundred seventy-six thousand, seven hundred eighty".