1077580 has 48 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 358848.

The previous prime is 1077563. The next prime is 1077599. The reversal of 1077580 is 857701.

It is a happy number.

It is a super-2 number, since 2×1077580² = 2322357312800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5931 + ... + 6109.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2^1077580 is an apocalyptic number.

1077580 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 1077580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

1077580 is an abundant number, since it is smaller than the sum of its proper divisors (1583540).

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

1077580 is a wasteful number, since it uses less digits than its factorization.

1077580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 1077580 is about 1038.0655085302. The cubic root of 1077580 is about 102.5218672362.

The spelling of 1077580 in words is "one million, seventy-seven thousand, five hundred eighty".