1077536705 has 24 divisors (see below), whose sum is σ = 1508466240. Its totient is φ = 736764000.

The previous prime is 1077536689. The next prime is 1077536723. The reversal of 1077536705 is 5076357701.

It is not a de Polignac number, because 1077536705 - 2⁴ = 1077536689 is a prime.

It is a super-3 number, since 3×1077536705³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81830 + ... + 94080.

It is an arithmetic number, because the mean of its divisors is an integer number (62852760).

Almost surely, 2^1077536705 is an apocalyptic number.

It is an amenable number.

1077536705 is a deficient number, since it is larger than the sum of its proper divisors (430929535).

1077536705 is a wasteful number, since it uses less digits than its factorization.

1077536705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12629 (or 12622 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 41.

The square root of 1077536705 is about 32825.8542158464. The cubic root of 1077536705 is about 1025.2049417689.

The spelling of 1077536705 in words is "one billion, seventy-seven million, five hundred thirty-six thousand, seven hundred five".