1772916480 has 216 divisors, whose sum is σ = 6228370512. Its totient is φ = 465518592.

The previous prime is 1772916449. The next prime is 1772916487. The reversal of 1772916480 is 846192771.

It is a happy number.

1772916480 is a `hidden beast` number, since 17 + 72 + 91 + 6 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772916487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 770692 + ... + 772988.

Almost surely, 2^1772916480 is an apocalyptic number.

1772916480 is a gapful number since it is divisible by the number (10) 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 1772916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114185256).

1772916480 is an abundant number, since it is smaller than the sum of its proper divisors (4455454032).

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

1772916480 is a wasteful number, since it uses less digits than its factorization.

1772916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1772916480 is about 42106.0147722389. The cubic root of 1772916480 is about 1210.3085250186.

The spelling of 1772916480 in words is "one billion, seven hundred seventy-two million, nine hundred sixteen thousand, four hundred eighty".