76875480000 has 840 divisors, whose sum is σ = 311939147520. Its totient is φ = 18610560000.

The previous prime is 76875479981. The next prime is 76875480007. The reversal of 76875480000 is 8457867.

It is a super-3 number, since 3×76875480000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76875480007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 106919641 + ... + 106920359.

It is an arithmetic number, because the mean of its divisors is an integer number (371356128).

Almost surely, 2^76875480000 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 76875480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155969573760).

76875480000 is an abundant number, since it is smaller than the sum of its proper divisors (235063667520).

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

76875480000 is an equidigital number, since it uses as much as digits as its factorization.

76875480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 76875480000 in words is "seventy-six billion, eight hundred seventy-five million, four hundred eighty thousand".