76034810880 has 264 divisors, whose sum is σ = 301096865472. Its totient is φ = 17379311616.

The previous prime is 76034810857. The next prime is 76034810911. The reversal of 76034810880 is 8801843067.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204699 + ... + 440421.

Almost surely, 2^76034810880 is an apocalyptic number.

76034810880 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 76034810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150548432736).

76034810880 is an abundant number, since it is smaller than the sum of its proper divisors (225062054592).

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

76034810880 is a wasteful number, since it uses less digits than its factorization.

76034810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235761 (or 235740 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 76034810880 in words is "seventy-six billion, thirty-four million, eight hundred ten thousand, eight hundred eighty".