1077489360 has 120 divisors (see below), whose sum is σ = 3678039144. Its totient is φ = 282608640.

The previous prime is 1077489353. The next prime is 1077489367. The reversal of 1077489360 is 639847701.

1077489360 is a `hidden beast` number, since 107 + 7 + 489 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1077489353) and next prime (1077489367).

It can be written as a sum of positive squares in 4 ways, for example, as 97298496 + 980190864 = 9864^2 + 31308^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077489367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31654 + ... + 56186.

Almost surely, 2^1077489360 is an apocalyptic number.

1077489360 is a gapful number since it is divisible by the number (10) 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 1077489360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839019572).

1077489360 is an abundant number, since it is smaller than the sum of its proper divisors (2600549784).

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

1077489360 is a wasteful number, since it uses less digits than its factorization.

1077489360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24613 (or 24604 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1077489360 is about 32825.1330538050. The cubic root of 1077489360 is about 1025.1899263365.

The spelling of 1077489360 in words is "one billion, seventy-seven million, four hundred eighty-nine thousand, three hundred sixty".