277993968 has 160 divisors (see below), whose sum is σ = 854802432. Its totient is φ = 76204800.

The previous prime is 277993967. The next prime is 277993973. The reversal of 277993968 is 869399772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (277993967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025673 + ... + 1025943.

Almost surely, 2^277993968 is an apocalyptic number.

277993968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 277993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427401216).

277993968 is an abundant number, since it is smaller than the sum of its proper divisors (576808464).

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

277993968 is a wasteful number, since it uses less digits than its factorization.

277993968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 60.

The square root of 277993968 is about 16673.1511118924. The cubic root of 277993968 is about 652.6471675211.

The spelling of 277993968 in words is "two hundred seventy-seven million, nine hundred ninety-three thousand, nine hundred sixty-eight".