1000776000 has 672 divisors, whose sum is σ = 4119628032. Its totient is φ = 212889600.

The previous prime is 1000775989. The next prime is 1000776001. The reversal of 1000776000 is 6770001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000776001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27047982 + ... + 27048018.

Almost surely, 2^1000776000 is an apocalyptic number.

1000776000 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 1000776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059814016).

1000776000 is an abundant number, since it is smaller than the sum of its proper divisors (3118852032).

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

1000776000 is a wasteful number, since it uses less digits than its factorization.

1000776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 1000776000 is about 31635.0438596187. The cubic root of 1000776000 is about 1000.2585997871.

The spelling of 1000776000 in words is "one billion, seven hundred seventy-six thousand".