1040077000 has 128 divisors (see below), whose sum is σ = 2598467040. Its totient is φ = 388300800.

The previous prime is 1040076937. The next prime is 1040077007. The reversal of 1040077000 is 7700401.

It can be written as a sum of positive squares in 16 ways, for example, as 216501796 + 823575204 = 14714^2 + 28698^2 .

It is not an unprimeable number, because it can be changed into a prime (1040077007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3280842 + ... + 3281158.

Almost surely, 2^1040077000 is an apocalyptic number.

1040077000 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 1040077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299233520).

1040077000 is an abundant number, since it is smaller than the sum of its proper divisors (1558390040).

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

1040077000 is a wasteful number, since it uses less digits than its factorization.

1040077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 1040077000 is about 32250.2248054180. The cubic root of 1040077000 is about 1013.1844074576.

Adding to 1040077000 its reverse (7700401), we get a palindrome (1047777401).

The spelling of 1040077000 in words is "one billion, forty million, seventy-seven thousand".