1076384772 has 72 divisors (see below), whose sum is σ = 2830027200. Its totient is φ = 344675520.

The previous prime is 1076384747. The next prime is 1076384773. The reversal of 1076384772 is 2774836701.

1076384772 is a `hidden beast` number, since 1 + 0 + 7 + 638 + 4 + 7 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1076384773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88729 + ... + 100127.

Almost surely, 2^1076384772 is an apocalyptic number.

1076384772 is a gapful number since it is divisible by the number (12) 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 1076384772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415013600).

1076384772 is an abundant number, since it is smaller than the sum of its proper divisors (1753642428).

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

1076384772 is a wasteful number, since it uses less digits than its factorization.

1076384772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1076384772 is about 32808.3034002065. The cubic root of 1076384772 is about 1024.8394821412.

The spelling of 1076384772 in words is "one billion, seventy-six million, three hundred eighty-four thousand, seven hundred seventy-two".