76038842880 has 1920 divisors, whose sum is σ = 371473724160. Its totient is φ = 14491975680.

The previous prime is 76038842851. The next prime is 76038842903. The reversal of 76038842880 is 8824883067.

76038842880 is a `hidden beast` number, since 7 + 60 + 3 + 88 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 484323762 + ... + 484323918.

It is an arithmetic number, because the mean of its divisors is an integer number (193475898).

Almost surely, 2^76038842880 is an apocalyptic number.

76038842880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76038842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185736862080).

76038842880 is an abundant number, since it is smaller than the sum of its proper divisors (295434881280).

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

76038842880 is a wasteful number, since it uses less digits than its factorization.

76038842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 76038842880 in words is "seventy-six billion, thirty-eight million, eight hundred forty-two thousand, eight hundred eighty".