760941216 has 240 divisors, whose sum is σ = 2709153216. Its totient is φ = 204539904.

The previous prime is 760941211. The next prime is 760941239. The reversal of 760941216 is 612149067.

760941216 is a `hidden beast` number, since 7 + 609 + 41 + 2 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (760941211) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 307215 + ... + 309681.

Almost surely, 2^760941216 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 760941216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354576608).

760941216 is an abundant number, since it is smaller than the sum of its proper divisors (1948212000).

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

760941216 is a wasteful number, since it uses less digits than its factorization.

760941216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 760941216 is about 27585.1629685235. The cubic root of 760941216 is about 912.9570977162.

The spelling of 760941216 in words is "seven hundred sixty million, nine hundred forty-one thousand, two hundred sixteen".