760513536 has 220 divisors, whose sum is σ = 2327267052. Its totient is φ = 247283712.

The previous prime is 760513529. The next prime is 760513549. The reversal of 760513536 is 635315067.

It is a happy number.

760513536 is a `hidden beast` number, since 7 + 605 + 13 + 5 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 627803136 + 132710400 = 25056^2 + 11520^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 760513536.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4395946 + ... + 4396118.

Almost surely, 2^760513536 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 760513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163633526).

760513536 is an abundant number, since it is smaller than the sum of its proper divisors (1566753516).

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

760513536 is a wasteful number, since it uses less digits than its factorization.

760513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 760513536 is about 27577.4098856292. The cubic root of 760513536 is about 912.7860259539.

The spelling of 760513536 in words is "seven hundred sixty million, five hundred thirteen thousand, five hundred thirty-six".