76773070080 has 864 divisors, whose sum is σ = 323664816384. Its totient is φ = 17055940608.

The previous prime is 76773070063. The next prime is 76773070109. The reversal of 76773070080 is 8007037767.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80558884 + ... + 80559836.

It is an arithmetic number, because the mean of its divisors is an integer number (374612056).

Almost surely, 2^76773070080 is an apocalyptic number.

76773070080 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 76773070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161832408192).

76773070080 is an abundant number, since it is smaller than the sum of its proper divisors (246891746304).

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

76773070080 is an equidigital number, since it uses as much as digits as its factorization.

76773070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 76773070080 in words is "seventy-six billion, seven hundred seventy-three million, seventy thousand, eighty".