42774800 has 30 divisors (see below), whose sum is σ = 102767418. Its totient is φ = 17109760.

The previous prime is 42774791. The next prime is 42774803. The reversal of 42774800 is 847724.

It can be written as a sum of positive squares in 3 ways, for example, as 1763584 + 41011216 = 1328^2 + 6404^2 .

It is not an unprimeable number, because it can be changed into a prime (42774803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53069 + ... + 53868.

Almost surely, 2^42774800 is an apocalyptic number.

42774800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42774800 is an abundant number, since it is smaller than the sum of its proper divisors (59992618).

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

42774800 is a wasteful number, since it uses less digits than its factorization.

42774800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106955 (or 106944 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 42774800 is about 6540.2446437423. The cubic root of 42774800 is about 349.7271342635.

The spelling of 42774800 in words is "forty-two million, seven hundred seventy-four thousand, eight hundred".