756661680 has 120 divisors (see below), whose sum is σ = 2554375200. Its totient is φ = 200724480.

The previous prime is 756661679. The next prime is 756661739. The reversal of 756661680 is 86166657.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140640 + ... + 145920.

It is an arithmetic number, because the mean of its divisors is an integer number (21286460).

Almost surely, 2^756661680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277187600).

756661680 is an abundant number, since it is smaller than the sum of its proper divisors (1797713520).

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

756661680 is a wasteful number, since it uses less digits than its factorization.

756661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 756661680 is about 27507.4840725211. The cubic root of 756661680 is about 911.2423878967.

The spelling of 756661680 in words is "seven hundred fifty-six million, six hundred sixty-one thousand, six hundred eighty".