77888272 has 80 divisors (see below), whose sum is σ = 189702144. Its totient is φ = 30096000.

The previous prime is 77888267. The next prime is 77888297. The reversal of 77888272 is 27288877.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 235147 + ... + 235477.

Almost surely, 2^77888272 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 77888272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94851072).

77888272 is an abundant number, since it is smaller than the sum of its proper divisors (111813872).

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

77888272 is a wasteful number, since it uses less digits than its factorization.

77888272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its digits is 702464, while the sum is 49.

The square root of 77888272 is about 8825.4332471556. The cubic root of 77888272 is about 427.0617640145.

The spelling of 77888272 in words is "seventy-seven million, eight hundred eighty-eight thousand, two hundred seventy-two".