777135044 has 48 divisors (see below), whose sum is σ = 1612993536. Its totient is φ = 320695200.

The previous prime is 777135019. The next prime is 777135061. The reversal of 777135044 is 440531777.

It is a super-2 number, since 2×777135044² = 1207877753225763872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 777134989 and 777135007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80939 + ... + 90029.

It is an arithmetic number, because the mean of its divisors is an integer number (33604032).

Almost surely, 2^777135044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 777135044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806496768).

777135044 is an abundant number, since it is smaller than the sum of its proper divisors (835858492).

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

777135044 is a wasteful number, since it uses less digits than its factorization.

777135044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 777135044 is about 27877.1419625470. The cubic root of 777135044 is about 919.3880003501.

The spelling of 777135044 in words is "seven hundred seventy-seven million, one hundred thirty-five thousand, forty-four".