1772105160 has 128 divisors (see below), whose sum is σ = 6433240320. Its totient is φ = 381222912.

The previous prime is 1772105147. The next prime is 1772105161. The reversal of 1772105160 is 615012771.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1772105161) 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 31 ways as a sum of consecutive naturals, for example, 47769 + ... + 76328.

It is an arithmetic number, because the mean of its divisors is an integer number (50259690).

Almost surely, 2^1772105160 is an apocalyptic number.

1772105160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1772105160 is an abundant number, since it is smaller than the sum of its proper divisors (4661135160).

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

1772105160 is a wasteful number, since it uses less digits than its factorization.

1772105160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124135 (or 124131 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 1772105160 is about 42096.3794167622. The cubic root of 1772105160 is about 1210.1238768513.

The spelling of 1772105160 in words is "one billion, seven hundred seventy-two million, one hundred five thousand, one hundred sixty".