1077459040 has 192 divisors, whose sum is σ = 3075408000. Its totient is φ = 356149248.

The previous prime is 1077459029. The next prime is 1077459091. The reversal of 1077459040 is 409547701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1591182 + ... + 1591858.

It is an arithmetic number, because the mean of its divisors is an integer number (16017750).

Almost surely, 2^1077459040 is an apocalyptic number.

1077459040 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 1077459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537704000).

1077459040 is an abundant number, since it is smaller than the sum of its proper divisors (1997948960).

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

1077459040 is an equidigital number, since it uses as much as digits as its factorization.

1077459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 1077459040 is about 32824.6712093206. The cubic root of 1077459040 is about 1025.1803101394.

The spelling of 1077459040 in words is "one billion, seventy-seven million, four hundred fifty-nine thousand, forty".