1772338848 has 192 divisors, whose sum is σ = 5646090240. Its totient is φ = 475517952.

The previous prime is 1772338847. The next prime is 1772338871. The reversal of 1772338848 is 8488332771.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1772338848.

It is not an unprimeable number, because it can be changed into a prime (1772338847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620990 + ... + 1622082.

It is an arithmetic number, because the mean of its divisors is an integer number (29406720).

Almost surely, 2^1772338848 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 1772338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823045120).

1772338848 is an abundant number, since it is smaller than the sum of its proper divisors (3873751392).

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

1772338848 is a wasteful number, since it uses less digits than its factorization.

1772338848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1251 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 1772338848 is about 42099.1549558896. The cubic root of 1772338848 is about 1210.1770676373.

The spelling of 1772338848 in words is "one billion, seven hundred seventy-two million, three hundred thirty-eight thousand, eight hundred forty-eight".