76777229760 has 1344 divisors, whose sum is σ = 326901657600. Its totient is φ = 15233433600.

The previous prime is 76777229741. The next prime is 76777229777. The reversal of 76777229760 is 6792277767.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 76777229694 and 76777229703.

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, 1633558057 + ... + 1633558103.

It is an arithmetic number, because the mean of its divisors is an integer number (243230400).

Almost surely, 2^76777229760 is an apocalyptic number.

76777229760 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 76777229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163450828800).

76777229760 is an abundant number, since it is smaller than the sum of its proper divisors (250124427840).

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

76777229760 is a wasteful number, since it uses less digits than its factorization.

76777229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 21781872, while the sum is 60.

The spelling of 76777229760 in words is "seventy-six billion, seven hundred seventy-seven million, two hundred twenty-nine thousand, seven hundred sixty".