442776780 has 240 divisors, whose sum is σ = 1459956960. Its totient is φ = 112223232.

The previous prime is 442776731. The next prime is 442776793. The reversal of 442776780 is 87677244.

442776780 is a `hidden beast` number, since 442 + 77 + 67 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4974976 + ... + 4975064.

It is an arithmetic number, because the mean of its divisors is an integer number (6083154).

Almost surely, 2^442776780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442776780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729978480).

442776780 is an abundant number, since it is smaller than the sum of its proper divisors (1017180180).

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

442776780 is a wasteful number, since it uses less digits than its factorization.

442776780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 442776780 is about 21042.2617605618. The cubic root of 442776780 is about 762.1871324145.

It can be divided in two parts, 442776 and 780, that added together give a square (443556 = 666²).

The spelling of 442776780 in words is "four hundred forty-two million, seven hundred seventy-six thousand, seven hundred eighty".