89832078400 has 189 divisors, whose sum is σ = 226637487669. Its totient is φ = 35045660160.

The previous prime is 89832078389. The next prime is 89832078409. The reversal of 89832078400 is 487023898.

The square root of 89832078400 is 299720.

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

It can be written as a sum of positive squares in only one way, i.e., 32339548224 + 57492530176 = 179832^2 + 239776^2 .

It is not an unprimeable number, because it can be changed into a prime (89832078409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 707339137 + ... + 707339263.

Almost surely, 2^89832078400 is an apocalyptic number.

89832078400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89832078400 is the 299720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89832078400

89832078400 is an abundant number, since it is smaller than the sum of its proper divisors (136805409269).

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

89832078400 is an equidigital number, since it uses as much as digits as its factorization.

89832078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 89832078400 by its sum of digits (49), we get a square (4401771841600 = 2098040²).

The spelling of 89832078400 in words is "eighty-nine billion, eight hundred thirty-two million, seventy-eight thousand, four hundred".