1077140672 has 56 divisors (see below), whose sum is σ = 2271131856. Its totient is φ = 505110528.

The previous prime is 1077140653. The next prime is 1077140683. The reversal of 1077140672 is 2760417701.

It is a super-3 number, since 3×1077140672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338963 + ... + 342125.

It is an arithmetic number, because the mean of its divisors is an integer number (40555926).

Almost surely, 2^1077140672 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 1077140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135565928).

1077140672 is an abundant number, since it is smaller than the sum of its proper divisors (1193991184).

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

1077140672 is a wasteful number, since it uses less digits than its factorization.

1077140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 1077140672 is about 32819.8213279719. The cubic root of 1077140672 is about 1025.0793266387.

The spelling of 1077140672 in words is "one billion, seventy-seven million, one hundred forty thousand, six hundred seventy-two".