1077965312 has 30 divisors (see below), whose sum is σ = 2155310619. Its totient is φ = 538611200.

The previous prime is 1077965309. The next prime is 1077965321. The reversal of 1077965312 is 2135697701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 538982656 + 538982656 = 23216^2 + 23216^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23216.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1077965312.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 742187 + ... + 743637.

Almost surely, 2^1077965312 is an apocalyptic number.

It is an amenable number.

1077965312 is a deficient number, since it is larger than the sum of its proper divisors (1077345307).

1077965312 is an frugal number, since it uses more digits than its factorization.

1077965312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 1077965312 is about 32832.3820640538. The cubic root of 1077965312 is about 1025.3408541589.

It can be divided in two parts, 1077965 and 312, that multiplied together give a triangular number (336325080 = T₂₅₉₃₅).

The spelling of 1077965312 in words is "one billion, seventy-seven million, nine hundred sixty-five thousand, three hundred twelve".