1763648772 has 48 divisors (see below), whose sum is σ = 4229621760. Its totient is φ = 571757472.

The previous prime is 1763648749. The next prime is 1763648773. The reversal of 1763648772 is 2778463671.

It is a happy number.

It is a super-2 number, since 2×1763648772² = 6220913981954215968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1763648773) 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 15 ways as a sum of consecutive naturals, for example, 49633 + ... + 77399.

It is an arithmetic number, because the mean of its divisors is an integer number (88117120).

Almost surely, 2^1763648772 is an apocalyptic number.

1763648772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1763648772 is an abundant number, since it is smaller than the sum of its proper divisors (2465972988).

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

1763648772 is a wasteful number, since it uses less digits than its factorization.

1763648772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27920 (or 27918 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 1763648772 is about 41995.8185061323. The cubic root of 1763648772 is about 1208.1959254526.

It can be divided in two parts, 176364 and 8772, that added together give a triangular number (185136 = T₆₀₈).

The spelling of 1763648772 in words is "one billion, seven hundred sixty-three million, six hundred forty-eight thousand, seven hundred seventy-two".