42762880 has 64 divisors (see below), whose sum is σ = 103336200. Its totient is φ = 16920576.

The previous prime is 42762847. The next prime is 42762893. The reversal of 42762880 is 8826724.

It can be written as a sum of positive squares in 4 ways, for example, as 23892544 + 18870336 = 4888^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69454 + ... + 70066.

Almost surely, 2^42762880 is an apocalyptic number.

42762880 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 42762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51668100).

42762880 is an abundant number, since it is smaller than the sum of its proper divisors (60573320).

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

42762880 is a wasteful number, since it uses less digits than its factorization.

42762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 42762880 is about 6539.3332993509. Note that the first 3 decimals coincide. The cubic root of 42762880 is about 349.6946452377.

The spelling of 42762880 in words is "forty-two million, seven hundred sixty-two thousand, eight hundred eighty".