1772490720 has 1152 divisors, whose sum is σ = 8339853312. Its totient is φ = 309657600.

The previous prime is 1772490719. The next prime is 1772490763. The reversal of 1772490720 is 270942771.

It is a super-2 number, since 2×1772490720² = 6283446704972236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57177105 + ... + 57177135.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2^1772490720 is an apocalyptic number.

1772490720 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 1772490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169926656).

1772490720 is an abundant number, since it is smaller than the sum of its proper divisors (6567362592).

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

1772490720 is a wasteful number, since it uses less digits than its factorization.

1772490720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 1772490720 is about 42100.9586589189. The cubic root of 1772490720 is about 1210.2116334056.

The spelling of 1772490720 in words is "one billion, seven hundred seventy-two million, four hundred ninety thousand, seven hundred twenty".