85760400 has 240 divisors, whose sum is σ = 307212480. Its totient is φ = 20275200.

The previous prime is 85760387. The next prime is 85760401. The reversal of 85760400 is 406758.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (85760401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963556 + ... + 963644.

It is an arithmetic number, because the mean of its divisors is an integer number (1280052).

Almost surely, 2^85760400 is an apocalyptic number.

85760400 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 85760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153606240).

85760400 is an abundant number, since it is smaller than the sum of its proper divisors (221452080).

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

85760400 is a wasteful number, since it uses less digits than its factorization.

85760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 85760400 is about 9260.6911189176. The cubic root of 85760400 is about 440.9901941968.

The spelling of 85760400 in words is "eighty-five million, seven hundred sixty thousand, four hundred".