77938224 has 120 divisors (see below), whose sum is σ = 252327600. Its totient is φ = 20547072.

The previous prime is 77938207. The next prime is 77938307. The reversal of 77938224 is 42283977.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29302 + ... + 31850.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^77938224 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 77938224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126163800).

77938224 is an abundant number, since it is smaller than the sum of its proper divisors (174389376).

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

77938224 is a wasteful number, since it uses less digits than its factorization.

77938224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2574 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 77938224 is about 8828.2627962697. The cubic root of 77938224 is about 427.1530401888.

The spelling of 77938224 in words is "seventy-seven million, nine hundred thirty-eight thousand, two hundred twenty-four".