1772766240 has 192 divisors, whose sum is σ = 6426604800. Its totient is φ = 402370560.

The previous prime is 1772766209. The next prime is 1772766293. The reversal of 1772766240 is 426672771.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1772766192 and 1772766201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498870 + ... + 502410.

It is an arithmetic number, because the mean of its divisors is an integer number (33471900).

Almost surely, 2^1772766240 is an apocalyptic number.

1772766240 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 1772766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213302400).

1772766240 is an abundant number, since it is smaller than the sum of its proper divisors (4653838560).

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

1772766240 is a wasteful number, since it uses less digits than its factorization.

1772766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 1772766240 is about 42104.2306662882. The cubic root of 1772766240 is about 1210.2743361757.

The spelling of 1772766240 in words is "one billion, seven hundred seventy-two million, seven hundred sixty-six thousand, two hundred forty".