10003078800 has 1200 divisors, whose sum is σ = 45009119232. Its totient is φ = 2090188800.

The previous prime is 10003078763. The next prime is 10003078819. The reversal of 10003078800 is 887030001.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78764337 + ... + 78764463.

Almost surely, 2^10003078800 is an apocalyptic number.

10003078800 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 10003078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504559616).

10003078800 is an abundant number, since it is smaller than the sum of its proper divisors (35006040432).

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

10003078800 is a wasteful number, since it uses less digits than its factorization.

10003078800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10003078800 in words is "ten billion, three million, seventy-eight thousand, eight hundred".