77740224 has 56 divisors (see below), whose sum is σ = 206916528. Its totient is φ = 25758720.

The previous prime is 77740211. The next prime is 77740279. The reversal of 77740224 is 42204777.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33634 + ... + 35870.

It is an arithmetic number, because the mean of its divisors is an integer number (3694938).

Almost surely, 2^77740224 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 77740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103458264).

77740224 is an abundant number, since it is smaller than the sum of its proper divisors (129176304).

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

77740224 is a wasteful number, since it uses less digits than its factorization.

77740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 77740224 is about 8817.0416807453. The cubic root of 77740224 is about 426.7910097662.

The spelling of 77740224 in words is "seventy-seven million, seven hundred forty thousand, two hundred twenty-four".