1077027840 has 660 divisors, whose sum is σ = 4574283516. Its totient is φ = 241532928.

The previous prime is 1077027797. The next prime is 1077027851. The reversal of 1077027840 is 487207701.

It can be written as a sum of positive squares in 2 ways, for example, as 585252864 + 491774976 = 24192^2 + 22176^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1077027795 and 1077027804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321254 + ... + 20321306.

Almost surely, 2^1077027840 is an apocalyptic number.

1077027840 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 1077027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287141758).

1077027840 is an abundant number, since it is smaller than the sum of its proper divisors (3497255676).

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

1077027840 is an equidigital number, since it uses as much as digits as its factorization.

1077027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 1077027840 is about 32818.1023217370. The cubic root of 1077027840 is about 1025.0435325552.

The spelling of 1077027840 in words is "one billion, seventy-seven million, twenty-seven thousand, eight hundred forty".