1077345984 has 112 divisors (see below), whose sum is σ = 3348898560. Its totient is φ = 301347840.

The previous prime is 1077345901. The next prime is 1077345991. The reversal of 1077345984 is 4895437701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7837 + ... + 47075.

It is an arithmetic number, because the mean of its divisors is an integer number (29900880).

Almost surely, 2^1077345984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674449280).

1077345984 is an abundant number, since it is smaller than the sum of its proper divisors (2271552576).

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

1077345984 is a wasteful number, since it uses less digits than its factorization.

1077345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39278 (or 39268 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 1077345984 is about 32822.9490448375. The cubic root of 1077345984 is about 1025.1444520588.

The spelling of 1077345984 in words is "one billion, seventy-seven million, three hundred forty-five thousand, nine hundred eighty-four".