77055269760 has 512 divisors, whose sum is σ = 325462579200. Its totient is φ = 16846258176.

The previous prime is 77055269741. The next prime is 77055269771. The reversal of 77055269760 is 6796255077.

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

It is a junction number, because it is equal to n+sod(n) for n = 77055269697 and 77055269706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2768232 + ... + 2795928.

It is an arithmetic number, because the mean of its divisors is an integer number (635669100).

Almost surely, 2^77055269760 is an apocalyptic number.

77055269760 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 77055269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162731289600).

77055269760 is an abundant number, since it is smaller than the sum of its proper divisors (248407309440).

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

77055269760 is a wasteful number, since it uses less digits than its factorization.

77055269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27755 (or 27737 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 77055269760 in words is "seventy-seven billion, fifty-five million, two hundred sixty-nine thousand, seven hundred sixty".