10078372800 has 504 divisors, whose sum is σ = 37498885632. Its totient is φ = 2564352000.

The previous prime is 10078372789. The next prime is 10078372849. The reversal of 10078372800 is 827387001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47764695 + ... + 47764905.

Almost surely, 2^10078372800 is an apocalyptic number.

10078372800 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 10078372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749442816).

10078372800 is an abundant number, since it is smaller than the sum of its proper divisors (27420512832).

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

10078372800 is a wasteful number, since it uses less digits than its factorization.

10078372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10078372800 in words is "ten billion, seventy-eight million, three hundred seventy-two thousand, eight hundred".