1077040400 has 120 divisors (see below), whose sum is σ = 2703354504. Its totient is φ = 411955200.

The previous prime is 1077040381. The next prime is 1077040411. The reversal of 1077040400 is 40407701.

It can be written as a sum of positive squares in 12 ways, for example, as 345662464 + 731377936 = 18592^2 + 27044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902204 + ... + 903396.

Almost surely, 2^1077040400 is an apocalyptic number.

1077040400 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 1077040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351677252).

1077040400 is an abundant number, since it is smaller than the sum of its proper divisors (1626314104).

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

1077040400 is a wasteful number, since it uses less digits than its factorization.

1077040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 1077040400 is about 32818.2936789834. The cubic root of 1077040400 is about 1025.0475171309.

The spelling of 1077040400 in words is "one billion, seventy-seven million, forty thousand, four hundred".