77004224 has 56 divisors (see below), whose sum is σ = 168706800. Its totient is φ = 34580480.

The previous prime is 77004211. The next prime is 77004229. The reversal of 77004224 is 42240077.

It is a junction number, because it is equal to n+sod(n) for n = 77004193 and 77004202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77004229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62042 + ... + 63270.

Almost surely, 2^77004224 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 77004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84353400).

77004224 is an abundant number, since it is smaller than the sum of its proper divisors (91702576).

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

77004224 is a wasteful number, since it uses less digits than its factorization.

77004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 77004224 is about 8775.2050688289. The cubic root of 77004224 is about 425.4398656988.

The spelling of 77004224 in words is "seventy-seven million, four thousand, two hundred twenty-four".