85837280400 has 405 divisors, whose sum is σ = 315610246731. Its totient is φ = 21600829440.

The previous prime is 85837280377. The next prime is 85837280401. The reversal of 85837280400 is 408273858.

The square root of 85837280400 is 292980.

It is a perfect power (a square), and thus also a powerful number.

85837280400 is a `hidden beast` number, since 8 + 583 + 7 + 28 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21093495696 + 64743784704 = 145236^2 + 254448^2 .

It is a super-3 number, since 3×85837280400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85837280401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 333997072 + ... + 333997328.

Almost surely, 2^85837280400 is an apocalyptic number.

85837280400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85837280400 is the 292980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85837280400

85837280400 is an abundant number, since it is smaller than the sum of its proper divisors (229772966331).

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

85837280400 is a wasteful number, since it uses less digits than its factorization.

85837280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 85837280400 in words is "eighty-five billion, eight hundred thirty-seven million, two hundred eighty thousand, four hundred".