1077116832 has 144 divisors (see below), whose sum is σ = 3453488640. Its totient is φ = 326367360.

The previous prime is 1077116797. The next prime is 1077116851. The reversal of 1077116832 is 2386117701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99393 + ... + 109695.

It is an arithmetic number, because the mean of its divisors is an integer number (23982560).

Almost surely, 2^1077116832 is an apocalyptic number.

1077116832 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 1077116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726744320).

1077116832 is an abundant number, since it is smaller than the sum of its proper divisors (2376371808).

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

1077116832 is a wasteful number, since it uses less digits than its factorization.

1077116832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10344 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1077116832 is about 32819.4581308101. The cubic root of 1077116832 is about 1025.0717640018.

The spelling of 1077116832 in words is "one billion, seventy-seven million, one hundred sixteen thousand, eight hundred thirty-two".