1760072960 has 144 divisors (see below), whose sum is σ = 4339101312. Its totient is φ = 683827200.

The previous prime is 1760072933. The next prime is 1760072983. The reversal of 1760072960 is 692700671.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9724070 + ... + 9724250.

It is an arithmetic number, because the mean of its divisors is an integer number (30132648).

Almost surely, 2^1760072960 is an apocalyptic number.

1760072960 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 1760072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169550656).

1760072960 is an abundant number, since it is smaller than the sum of its proper divisors (2579028352).

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

1760072960 is a wasteful number, since it uses less digits than its factorization.

1760072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 1760072960 is about 41953.2234756759. The cubic root of 1760072960 is about 1207.3788306787.

The spelling of 1760072960 in words is "one billion, seven hundred sixty million, seventy-two thousand, nine hundred sixty".