42730800 has 120 divisors (see below), whose sum is σ = 156466176. Its totient is φ = 9765120.

The previous prime is 42730799. The next prime is 42730823. The reversal of 42730800 is 803724.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5857 + ... + 10943.

Almost surely, 2^42730800 is an apocalyptic number.

42730800 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 42730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78233088).

42730800 is an abundant number, since it is smaller than the sum of its proper divisors (113735376).

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

42730800 is a wasteful number, since it uses less digits than its factorization.

42730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42730800 is about 6536.8799897199. The cubic root of 42730800 is about 349.6071783301.

The spelling of 42730800 in words is "forty-two million, seven hundred thirty thousand, eight hundred".