760872060 has 288 divisors, whose sum is σ = 2721019392. Its totient is φ = 170311680.

The previous prime is 760872041. The next prime is 760872061. The reversal of 760872060 is 60278067.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760872061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1232872 + ... + 1233488.

It is an arithmetic number, because the mean of its divisors is an integer number (9447984).

Almost surely, 2^760872060 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 760872060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360509696).

760872060 is an abundant number, since it is smaller than the sum of its proper divisors (1960147332).

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

760872060 is a wasteful number, since it uses less digits than its factorization.

760872060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 760872060 is about 27583.9094401066. The cubic root of 760872060 is about 912.9294396999.

The spelling of 760872060 in words is "seven hundred sixty million, eight hundred seventy-two thousand, sixty".