1077152384 has 128 divisors (see below), whose sum is σ = 2691722880. Its totient is φ = 417116160.

The previous prime is 1077152371. The next prime is 1077152387. The reversal of 1077152384 is 4832517701.

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

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1077152387) 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 15 ways as a sum of consecutive naturals, for example, 2887622 + ... + 2887994.

It is an arithmetic number, because the mean of its divisors is an integer number (21029085).

Almost surely, 2^1077152384 is an apocalyptic number.

1077152384 is a gapful number since it is divisible by the number (14) 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 1077152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345861440).

1077152384 is an abundant number, since it is smaller than the sum of its proper divisors (1614570496).

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

1077152384 is a wasteful number, since it uses less digits than its factorization.

1077152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 1077152384 is about 32819.9997562462. Note that the first 3 decimals coincide. The cubic root of 1077152384 is about 1025.0830419336.

The spelling of 1077152384 in words is "one billion, seventy-seven million, one hundred fifty-two thousand, three hundred eighty-four".