760711680 has 240 divisors, whose sum is σ = 2664800424. Its totient is φ = 200540160.

The previous prime is 760711643. The next prime is 760711691. The reversal of 760711680 is 86117067.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 699496704 + 61214976 = 26448^2 + 7824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3156360 + ... + 3156600.

Almost surely, 2^760711680 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 760711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332400212).

760711680 is an abundant number, since it is smaller than the sum of its proper divisors (1904088744).

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

760711680 is a wasteful number, since it uses less digits than its factorization.

760711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 760711680 is about 27581.0021572821. The cubic root of 760711680 is about 912.8652914154.

The spelling of 760711680 in words is "seven hundred sixty million, seven hundred eleven thousand, six hundred eighty".