403125076800 has 420 divisors, whose sum is σ = 1495433150860. Its totient is φ = 106510049280.

The previous prime is 403125076777. The next prime is 403125076843. The reversal of 403125076800 is 8670521304.

403125076800 is a `hidden beast` number, since 40 + 31 + 2 + 507 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25136199936 + 377988876864 = 158544^2 + 614808^2 .

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 59 ways as a sum of consecutive naturals, for example, 14112132 + ... + 14140668.

Almost surely, 2^403125076800 is an apocalyptic number.

403125076800 is a gapful number since it is divisible by the number (40) 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 403125076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747716575430).

403125076800 is an abundant number, since it is smaller than the sum of its proper divisors (1092308074060).

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

403125076800 is a wasteful number, since it uses less digits than its factorization.

403125076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28680 (or 28656 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 403125076800 in words is "four hundred three billion, one hundred twenty-five million, seventy-six thousand, eight hundred".