1772806672 has 180 divisors, whose sum is σ = 4470799788. Its totient is φ = 674956800.

The previous prime is 1772806663. The next prime is 1772806681. The reversal of 1772806672 is 2766082771.

It is an interprime number because it is at equal distance from previous prime (1772806663) and next prime (1772806681).

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 1664313616 = 10416^2 + 40796^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9794422 + ... + 9794602.

Almost surely, 2^1772806672 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 1772806672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235399894).

1772806672 is an abundant number, since it is smaller than the sum of its proper divisors (2697993116).

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

1772806672 is a wasteful number, since it uses less digits than its factorization.

1772806672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The square root of 1772806672 is about 42104.7108053244. The cubic root of 1772806672 is about 1210.2835371331.

The spelling of 1772806672 in words is "one billion, seven hundred seventy-two million, eight hundred six thousand, six hundred seventy-two".