42720800 has 36 divisors (see below), whose sum is σ = 104294106. Its totient is φ = 17088000.

The previous prime is 42720787. The next prime is 42720827. The reversal of 42720800 is 802724.

It can be written as a sum of positive squares in 3 ways, for example, as 24641296 + 18079504 = 4964^2 + 4252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25901 + ... + 27500.

Almost surely, 2^42720800 is an apocalyptic number.

42720800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42720800 is an abundant number, since it is smaller than the sum of its proper divisors (61573306).

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

42720800 is a wasteful number, since it uses less digits than its factorization.

42720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53421 (or 53408 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 42720800 is about 6536.1150540669. The cubic root of 42720800 is about 349.5799041349.

The spelling of 42720800 in words is "forty-two million, seven hundred twenty thousand, eight hundred".