85478400 has 396 divisors, whose sum is σ = 356374512. Its totient is φ = 19169280.

The previous prime is 85478387. The next prime is 85478413. The reversal of 85478400 is 487458.

It is an interprime number because it is at equal distance from previous prime (85478387) and next prime (85478413).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612774 + ... + 1612826.

Almost surely, 2^85478400 is an apocalyptic number.

85478400 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 85478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178187256).

85478400 is an abundant number, since it is smaller than the sum of its proper divisors (270896112).

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

85478400 is a wasteful number, since it uses less digits than its factorization.

85478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85478400 is about 9245.4529364439. The cubic root of 85478400 is about 440.5063042289.

The spelling of 85478400 in words is "eighty-five million, four hundred seventy-eight thousand, four hundred".