76289228288 has 480 divisors, whose sum is σ = 207038177280. Its totient is φ = 27373731840.

The previous prime is 76289228273. The next prime is 76289228303. The reversal of 76289228288 is 88282298267.

It is an interprime number because it is at equal distance from previous prime (76289228273) and next prime (76289228303).

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 76289228288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319201673 + ... + 319201911.

It is an arithmetic number, because the mean of its divisors is an integer number (431329536).

Almost surely, 2^76289228288 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 76289228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103519088640).

76289228288 is an abundant number, since it is smaller than the sum of its proper divisors (130748948992).

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

76289228288 is a wasteful number, since it uses less digits than its factorization.

76289228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 309 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 62.

The spelling of 76289228288 in words is "seventy-six billion, two hundred eighty-nine million, two hundred twenty-eight thousand, two hundred eighty-eight".