77881272 has 32 divisors (see below), whose sum is σ = 222518400. Its totient is φ = 22251744.

The previous prime is 77881241. The next prime is 77881273. The reversal of 77881272 is 27218877.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77881273) 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, 231622 + ... + 231957.

It is an arithmetic number, because the mean of its divisors is an integer number (6953700).

Almost surely, 2^77881272 is an apocalyptic number.

It is an amenable number.

77881272 is an abundant number, since it is smaller than the sum of its proper divisors (144637128).

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

77881272 is a wasteful number, since it uses less digits than its factorization.

77881272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463595 (or 463591 counting only the distinct ones).

The product of its digits is 87808, while the sum is 42.

The square root of 77881272 is about 8825.0366571477. The cubic root of 77881272 is about 427.0489699535.

The spelling of 77881272 in words is "seventy-seven million, eight hundred eighty-one thousand, two hundred seventy-two".