42776280 has 96 divisors (see below), whose sum is σ = 143544960. Its totient is φ = 11036160.

The previous prime is 42776269. The next prime is 42776281. The reversal of 42776280 is 8267724.

42776280 is a `hidden beast` number, since 4 + 27 + 7 + 628 + 0 = 666.

42776280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42776281) 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 23 ways as a sum of consecutive naturals, for example, 9244 + ... + 13076.

It is an arithmetic number, because the mean of its divisors is an integer number (1495260).

Almost surely, 2^42776280 is an apocalyptic number.

42776280 is a gapful number since it is divisible by the number (40) 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 42776280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71772480).

42776280 is an abundant number, since it is smaller than the sum of its proper divisors (100768680).

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

42776280 is a wasteful number, since it uses less digits than its factorization.

42776280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42776280 is about 6540.3577883782. The cubic root of 42776280 is about 349.7311677145.

The spelling of 42776280 in words is "forty-two million, seven hundred seventy-six thousand, two hundred eighty".