406878076800 has 768 divisors, whose sum is σ = 1614896640000. Its totient is φ = 99449856000.

The previous prime is 406878076793. The next prime is 406878076807. The reversal of 406878076800 is 8670878604.

406878076800 is a `hidden beast` number, since 406 + 87 + 80 + 7 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (406878076793) and next prime (406878076807).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406878076807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169602001 + ... + 169604399.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730000).

Almost surely, 2^406878076800 is an apocalyptic number.

406878076800 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 406878076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807448320000).

406878076800 is an abundant number, since it is smaller than the sum of its proper divisors (1208018563200).

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

406878076800 is a wasteful number, since it uses less digits than its factorization.

406878076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 406878076800 in words is "four hundred six billion, eight hundred seventy-eight million, seventy-six thousand, eight hundred".