817213600 has 72 divisors (see below), whose sum is σ = 2280041568. Its totient is φ = 280185600.

The previous prime is 817213583. The next prime is 817213603. The reversal of 817213600 is 6312718.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (817213603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67366 + ... + 78565.

It is an arithmetic number, because the mean of its divisors is an integer number (31667244).

Almost surely, 2^817213600 is an apocalyptic number.

817213600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

817213600 is an abundant number, since it is smaller than the sum of its proper divisors (1462827968).

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

817213600 is a wasteful number, since it uses less digits than its factorization.

817213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145958 (or 145945 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 817213600 is about 28586.9480707542. The cubic root of 817213600 is about 934.9287791176.

The spelling of 817213600 in words is "eight hundred seventeen million, two hundred thirteen thousand, six hundred".