42277680 has 240 divisors, whose sum is σ = 156344160. Its totient is φ = 10492416.

The previous prime is 42277673. The next prime is 42277681. The reversal of 42277680 is 8677224.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (42277681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142622 + ... + 1142658.

It is an arithmetic number, because the mean of its divisors is an integer number (651434).

Almost surely, 2^42277680 is an apocalyptic number.

42277680 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 42277680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78172080).

42277680 is an abundant number, since it is smaller than the sum of its proper divisors (114066480).

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

42277680 is a wasteful number, since it uses less digits than its factorization.

42277680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42277680 is about 6502.1288821431. The cubic root of 42277680 is about 348.3670324964.

The spelling of 42277680 in words is "forty-two million, two hundred seventy-seven thousand, six hundred eighty".