85378456800 has 864 divisors, whose sum is σ = 372621150720. Its totient is φ = 17913139200.

The previous prime is 85378456789. The next prime is 85378456811. The reversal of 85378456800 is 865487358.

85378456800 is a `hidden beast` number, since 8 + 5 + 3 + 78 + 4 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85378456789) and next prime (85378456811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203766991 + ... + 203767409.

It is an arithmetic number, because the mean of its divisors is an integer number (431274480).

Almost surely, 2^85378456800 is an apocalyptic number.

85378456800 is a gapful number since it is divisible by the number (80) 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 85378456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186310575360).

85378456800 is an abundant number, since it is smaller than the sum of its proper divisors (287242693920).

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

85378456800 is a wasteful number, since it uses less digits than its factorization.

85378456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 85378456800 in words is "eighty-five billion, three hundred seventy-eight million, four hundred fifty-six thousand, eight hundred".