760487040 has 192 divisors, whose sum is σ = 2711404800. Its totient is φ = 196208640.

The previous prime is 760486999. The next prime is 760487047. The reversal of 760487040 is 40784067.

It is a happy number.

760487040 is a `hidden beast` number, since 7 + 604 + 8 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 760486986 and 760487004.

It is not an unprimeable number, because it can be changed into a prime (760487047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 176431 + ... + 180689.

It is an arithmetic number, because the mean of its divisors is an integer number (14121900).

Almost surely, 2^760487040 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 760487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355702400).

760487040 is an abundant number, since it is smaller than the sum of its proper divisors (1950917760).

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

760487040 is a wasteful number, since it uses less digits than its factorization.

760487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 760487040 is about 27576.9294882516. The cubic root of 760487040 is about 912.7754254590.

The spelling of 760487040 in words is "seven hundred sixty million, four hundred eighty-seven thousand, forty".