77705777800090 has 64 divisors (see below), whose sum is σ = 156397701474432. Its totient is φ = 27552971980800.

The previous prime is 77705777800087. The next prime is 77705777800109. The reversal of 77705777800090 is 9000877750777.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77705777799995 and 77705777800031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11046951 + ... + 16656730.

It is an arithmetic number, because the mean of its divisors is an integer number (2443714085538).

Almost surely, 2^{77705777800090} is an apocalyptic number.

77705777800090 is an abundant number, since it is smaller than the sum of its proper divisors (78691923674342).

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

77705777800090 is a wasteful number, since it uses less digits than its factorization.

77705777800090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27704335.

The product of its (nonzero) digits is 42353640, while the sum is 64.

The spelling of 77705777800090 in words is "seventy-seven trillion, seven hundred five billion, seven hundred seventy-seven million, eight hundred thousand, ninety".