1000076800 has 240 divisors, whose sum is σ = 2679114240. Its totient is φ = 369008640.

The previous prime is 1000076741. The next prime is 1000076807. The reversal of 1000076800 is 86700001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000076807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12659161 + ... + 12659239.

It is an arithmetic number, because the mean of its divisors is an integer number (11162976).

Almost surely, 2^1000076800 is an apocalyptic number.

1000076800 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 1000076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339557120).

1000076800 is an abundant number, since it is smaller than the sum of its proper divisors (1679037440).

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

1000076800 is an equidigital number, since it uses as much as digits as its factorization.

1000076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1000076800 is about 31623.9908929914. The cubic root of 1000076800 is about 1000.0255993447.

Adding to 1000076800 its reverse (86700001), we get a palindrome (1086776801).

The spelling of 1000076800 in words is "one billion, seventy-six thousand, eight hundred".