897177600 has 576 divisors, whose sum is σ = 3656016000. Its totient is φ = 213811200.

The previous prime is 897177577. The next prime is 897177613. The reversal of 897177600 is 6771798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15206371 + ... + 15206429.

It is an arithmetic number, because the mean of its divisors is an integer number (6347250).

Almost surely, 2^897177600 is an apocalyptic number.

897177600 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 897177600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000).

897177600 is an abundant number, since it is smaller than the sum of its proper divisors (2758838400).

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

897177600 is a wasteful number, since it uses less digits than its factorization.

897177600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 897177600 is about 29952.9230626996. The cubic root of 897177600 is about 964.4790695157.

The spelling of 897177600 in words is "eight hundred ninety-seven million, one hundred seventy-seven thousand, six hundred".