1772496960 has 224 divisors, whose sum is σ = 6120871680. Its totient is φ = 431972352.

The previous prime is 1772496949. The next prime is 1772496961. The reversal of 1772496960 is 696942771.

It is not an unprimeable number, because it can be changed into a prime (1772496961) by changing a digit.

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, 1359669 + ... + 1360971.

It is an arithmetic number, because the mean of its divisors is an integer number (27325320).

Almost surely, 2^1772496960 is an apocalyptic number.

1772496960 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 1772496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060435840).

1772496960 is an abundant number, since it is smaller than the sum of its proper divisors (4348374720).

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

1772496960 is a wasteful number, since it uses less digits than its factorization.

1772496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 1772496960 is about 42101.0327664299. The cubic root of 1772496960 is about 1210.2130535751.

The spelling of 1772496960 in words is "one billion, seven hundred seventy-two million, four hundred ninety-six thousand, nine hundred sixty".