757680 has 160 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 153600.

The previous prime is 757661. The next prime is 757693. The reversal of 757680 is 86757.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

757680 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 31 ways as a sum of consecutive naturals, for example, 18460 + ... + 18500.

2⁷⁵⁷⁶⁸⁰ is an apocalyptic number.

757680 is a gapful number since it is divisible by the number (70) 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 757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

757680 is an abundant number, since it is smaller than the sum of its proper divisors (2242128).

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

757680 is a wasteful number, since it uses less digits than its factorization.

757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 757680 is about 870.4481604323. The cubic root of 757680 is about 91.1650989878.

The spelling of 757680 in words is "seven hundred fifty-seven thousand, six hundred eighty".