760537440 has 144 divisors (see below), whose sum is σ = 2795043888. Its totient is φ = 187204608.

The previous prime is 760537367. The next prime is 760537451. The reversal of 760537440 is 44735067.

760537440 is a `hidden beast` number, since 7 + 605 + 3 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 760537395 and 760537404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594 + ... + 39033.

It is an arithmetic number, because the mean of its divisors is an integer number (19410027).

Almost surely, 2^760537440 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 760537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397521944).

760537440 is an abundant number, since it is smaller than the sum of its proper divisors (2034506448).

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

760537440 is a wasteful number, since it uses less digits than its factorization.

760537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40661 (or 40650 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 760537440 is about 27577.8432804308. The cubic root of 760537440 is about 912.7955892325.

The spelling of 760537440 in words is "seven hundred sixty million, five hundred thirty-seven thousand, four hundred forty".