1077744096 has 432 divisors, whose sum is σ = 3802725360. Its totient is φ = 296524800.

The previous prime is 1077744079. The next prime is 1077744113. The reversal of 1077744096 is 6904477701.

It is an interprime number because it is at equal distance from previous prime (1077744079) and next prime (1077744113).

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 17667906 + ... + 17667966.

It is an arithmetic number, because the mean of its divisors is an integer number (8802605).

Almost surely, 2^1077744096 is an apocalyptic number.

1077744096 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 1077744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901362680).

1077744096 is an abundant number, since it is smaller than the sum of its proper divisors (2724981264).

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

1077744096 is a wasteful number, since it uses less digits than its factorization.

1077744096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 1077744096 is about 32829.0130220206. The cubic root of 1077744096 is about 1025.2707104918.

The spelling of 1077744096 in words is "one billion, seventy-seven million, seven hundred forty-four thousand, ninety-six".