77225280 has 224 divisors, whose sum is σ = 273881088. Its totient is φ = 18278400.

The previous prime is 77225257. The next prime is 77225299. The reversal of 77225280 is 8252277.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 749709 + ... + 749811.

Almost surely, 2^77225280 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 77225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

77225280 is an abundant number, since it is smaller than the sum of its proper divisors (196655808).

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

77225280 is a wasteful number, since it uses less digits than its factorization.

77225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 77225280 is about 8787.7915314372. The cubic root of 77225280 is about 425.8465801217.

The spelling of 77225280 in words is "seventy-seven million, two hundred twenty-five thousand, two hundred eighty".