77223456 has 72 divisors (see below), whose sum is σ = 227760624. Its totient is φ = 25738560.

The previous prime is 77223439. The next prime is 77223481. The reversal of 77223456 is 65432277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 77223456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2811 + ... + 12741.

It is an arithmetic number, because the mean of its divisors is an integer number (3163342).

Almost surely, 2^77223456 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 77223456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113880312).

77223456 is an abundant number, since it is smaller than the sum of its proper divisors (150537168).

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

77223456 is an equidigital number, since it uses as much as digits as its factorization.

77223456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9956 (or 9936 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 77223456 is about 8787.6877504836. The cubic root of 77223456 is about 425.8432273755.

The spelling of 77223456 in words is "seventy-seven million, two hundred twenty-three thousand, four hundred fifty-six".