1077412000 has 288 divisors, whose sum is σ = 3226728960. Its totient is φ = 351859200.

The previous prime is 1077411971. The next prime is 1077412001. The reversal of 1077412000 is 2147701.

It is not an unprimeable number, because it can be changed into a prime (1077412001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4507881 + ... + 4508119.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2^1077412000 is an apocalyptic number.

1077412000 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 1077412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

1077412000 is an abundant number, since it is smaller than the sum of its proper divisors (2149316960).

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

1077412000 is a wasteful number, since it uses less digits than its factorization.

1077412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 1077412000 is about 32823.9546672853. The cubic root of 1077412000 is about 1025.1653907219.

Adding to 1077412000 its reverse (2147701), we get a palindrome (1079559701).

The spelling of 1077412000 in words is "one billion, seventy-seven million, four hundred twelve thousand".