42769800 has 72 divisors (see below), whose sum is σ = 143641290. Its totient is φ = 11404800.

The previous prime is 42769787. The next prime is 42769819. The reversal of 42769800 is 896724.

It can be written as a sum of positive squares in 3 ways, for example, as 32695524 + 10074276 = 5718^2 + 3174^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 10081 + ... + 13680.

Almost surely, 2^42769800 is an apocalyptic number.

42769800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42769800 is an abundant number, since it is smaller than the sum of its proper divisors (100871490).

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

42769800 is a wasteful number, since it uses less digits than its factorization.

42769800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23783 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42769800 is about 6539.8623838732. The cubic root of 42769800 is about 349.7135070514.

The spelling of 42769800 in words is "forty-two million, seven hundred sixty-nine thousand, eight hundred".