77090612760 has 768 divisors, whose sum is σ = 309549081600. Its totient is φ = 16922131200.

The previous prime is 77090612737. The next prime is 77090612761. The reversal of 77090612760 is 6721609077.

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 (77090612761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 588477895 + ... + 588478025.

It is an arithmetic number, because the mean of its divisors is an integer number (403058700).

Almost surely, 2^77090612760 is an apocalyptic number.

77090612760 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 77090612760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154774540800).

77090612760 is an abundant number, since it is smaller than the sum of its proper divisors (232458468840).

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

77090612760 is a wasteful number, since it uses less digits than its factorization.

77090612760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 77090612760 in words is "seventy-seven billion, ninety million, six hundred twelve thousand, seven hundred sixty".