1146779776 has 128 divisors (see below), whose sum is σ = 2478159360. Its totient is φ = 527523840.

The previous prime is 1146779731. The next prime is 1146779779. The reversal of 1146779776 is 6779776411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1146779776² = 2630207709285220352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1146779779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10717515 + ... + 10717621.

It is an arithmetic number, because the mean of its divisors is an integer number (19360620).

Almost surely, 2^1146779776 is an apocalyptic number.

1146779776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239079680).

1146779776 is an abundant number, since it is smaller than the sum of its proper divisors (1331379584).

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

1146779776 is a wasteful number, since it uses less digits than its factorization.

1146779776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 55.

The square root of 1146779776 is about 33864.1370183857. The cubic root of 1146779776 is about 1046.7107273612.

The spelling of 1146779776 in words is "one billion, one hundred forty-six million, seven hundred seventy-nine thousand, seven hundred seventy-six".