1016780769 has 21 divisors (see below), whose sum is σ = 1525765699. Its totient is φ = 677279880.

The previous prime is 1016780741. The next prime is 1016780773. The reversal of 1016780769 is 9670876101.

The square root of 1016780769 is 31887.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 932508369 + 84272400 = 30537^2 + 9180^2 .

It is not a de Polignac number, because 1016780769 - 2¹⁵ = 1016748001 is a prime.

It is a super-2 number, since 2×1016780769² = 2067686264416462722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016780789) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 860359 + ... + 861539.

Almost surely, 2^1016780769 is an apocalyptic number.

1016780769 is the 31887-th square number.

1016780769 is the 15944-th centered octagonal number.

It is an amenable number.

1016780769 is a deficient number, since it is larger than the sum of its proper divisors (508984930).

1016780769 is an frugal number, since it uses more digits than its factorization.

1016780769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The cubic root of 1016780769 is about 1005.5625898871.

The spelling of 1016780769 in words is "one billion, sixteen million, seven hundred eighty thousand, seven hundred sixty-nine".