1077706305 has 24 divisors (see below), whose sum is σ = 2011719528. Its totient is φ = 530562816.

The previous prime is 1077706303. The next prime is 1077706319. The reversal of 1077706305 is 5036077701.

1077706305 is a `hidden beast` number, since 10 + 7 + 7 + 7 + 0 + 630 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 831341889 = 15696^2 + 28833^2 .

It is not a de Polignac number, because 1077706305 - 2¹ = 1077706303 is a prime.

It is a super-2 number, since 2×1077706305² = 2322901759673506050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1077706305.

It is not an unprimeable number, because it can be changed into a prime (1077706303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 920532 + ... + 921701.

It is an arithmetic number, because the mean of its divisors is an integer number (83821647).

Almost surely, 2^1077706305 is an apocalyptic number.

1077706305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1077706305 is a deficient number, since it is larger than the sum of its proper divisors (934013223).

1077706305 is a wasteful number, since it uses less digits than its factorization.

1077706305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842257 (or 1842254 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 1077706305 is about 32828.4374437773. The cubic root of 1077706305 is about 1025.2587266766.

The spelling of 1077706305 in words is "one billion, seventy-seven million, seven hundred six thousand, three hundred five".