42079680 has 168 divisors, whose sum is σ = 152552400. Its totient is φ = 10616832.

The previous prime is 42079669. The next prime is 42079703. The reversal of 42079680 is 8697024.

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

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, 54336 + ... + 55104.

It is an arithmetic number, because the mean of its divisors is an integer number (908050).

Almost surely, 2^42079680 is an apocalyptic number.

42079680 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 42079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76276200).

42079680 is an abundant number, since it is smaller than the sum of its proper divisors (110472720).

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

42079680 is a wasteful number, since it uses less digits than its factorization.

42079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42079680 is about 6486.8852309872. The cubic root of 42079680 is about 347.8223429307.

The spelling of 42079680 in words is "forty-two million, seventy-nine thousand, six hundred eighty".