42776200 has 24 divisors (see below), whose sum is σ = 99455130. Its totient is φ = 17110400.

The previous prime is 42776197. The next prime is 42776203. The reversal of 42776200 is 267724.

It is an interprime number because it is at equal distance from previous prime (42776197) and next prime (42776203).

It can be written as a sum of positive squares in 3 ways, for example, as 20629764 + 22146436 = 4542^2 + 4706^2 .

It is not an unprimeable number, because it can be changed into a prime (42776203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 106741 + ... + 107140.

Almost surely, 2^42776200 is an apocalyptic number.

42776200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42776200 is an abundant number, since it is smaller than the sum of its proper divisors (56678930).

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

42776200 is a wasteful number, since it uses less digits than its factorization.

42776200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213897 (or 213888 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 42776200 is about 6540.3516725020. The cubic root of 42776200 is about 349.7309496925.

The spelling of 42776200 in words is "forty-two million, seven hundred seventy-six thousand, two hundred".