76500210240 has 504 divisors, whose sum is σ = 277157200320. Its totient is φ = 20108362752.

The previous prime is 76500210223. The next prime is 76500210253. The reversal of 76500210240 is 4201200567.

76500210240 is a `hidden beast` number, since 7 + 650 + 0 + 2 + 1 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174259941 + ... + 174260379.

It is an arithmetic number, because the mean of its divisors is an integer number (549915080).

Almost surely, 2^76500210240 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 76500210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138578600160).

76500210240 is an abundant number, since it is smaller than the sum of its proper divisors (200656990080).

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

76500210240 is an frugal number, since it uses more digits than its factorization.

76500210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 76500210240 in words is "seventy-six billion, five hundred million, two hundred ten thousand, two hundred forty".