880894873600 has 351 divisors, whose sum is σ = 2547060475557. Its totient is φ = 301300285440.

The previous prime is 880894873597. The next prime is 880894873603. The reversal of 880894873600 is 6378498088.

The square root of 880894873600 is 938560.

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

It is an interprime number because it is at equal distance from previous prime (880894873597) and next prime (880894873603).

It can be written as a sum of positive squares in only one way, i.e., 317122154496 + 563772719104 = 563136^2 + 750848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (880894873603) 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, 2102374191 + ... + 2102374609.

Almost surely, 2^880894873600 is an apocalyptic number.

880894873600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

880894873600 is the 938560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880894873600

880894873600 is an abundant number, since it is smaller than the sum of its proper divisors (1666165601957).

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

880894873600 is an frugal number, since it uses more digits than its factorization.

880894873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 880894873600 in words is "eight hundred eighty billion, eight hundred ninety-four million, eight hundred seventy-three thousand, six hundred".