42772800 has 336 divisors, whose sum is σ = 171338240. Its totient is φ = 9123840.

The previous prime is 42772789. The next prime is 42772823. The reversal of 42772800 is 827724.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638367 + ... + 638433.

Almost surely, 2^42772800 is an apocalyptic number.

42772800 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 42772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85669120).

42772800 is an abundant number, since it is smaller than the sum of its proper divisors (128565440).

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

42772800 is a wasteful number, since it uses less digits than its factorization.

42772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 42772800 is about 6540.0917424758. The cubic root of 42772800 is about 349.7216835061.

The spelling of 42772800 in words is "forty-two million, seven hundred seventy-two thousand, eight hundred".