77226912 has 144 divisors (see below), whose sum is σ = 259721280. Its totient is φ = 21869568.

The previous prime is 77226899. The next prime is 77226917. The reversal of 77226912 is 21962277.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (21168) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (77226917) 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 23 ways as a sum of consecutive naturals, for example, 683368 + ... + 683480.

It is an arithmetic number, because the mean of its divisors is an integer number (1803620).

Almost surely, 2^77226912 is an apocalyptic number.

77226912 is a gapful number since it is divisible by the number (72) 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 77226912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129860640).

77226912 is an abundant number, since it is smaller than the sum of its proper divisors (182494368).

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

77226912 is a wasteful number, since it uses less digits than its factorization.

77226912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 125 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 77226912 is about 8787.8843870411. The cubic root of 77226912 is about 425.8495799024.

The spelling of 77226912 in words is "seventy-seven million, two hundred twenty-six thousand, nine hundred twelve".