890378720500 has 96 divisors (see below), whose sum is σ = 2049599129760. Its totient is φ = 337381990400.

The previous prime is 890378720459. The next prime is 890378720507. The reversal of 890378720500 is 5027873098.

It can be written as a sum of positive squares in 16 ways, for example, as 258627170916 + 631751549584 = 508554^2 + 794828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890378720507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189204 + ... + 1347796.

It is an arithmetic number, because the mean of its divisors is an integer number (21349990935).

Almost surely, 2^890378720500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890378720500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024799564880).

890378720500 is an abundant number, since it is smaller than the sum of its proper divisors (1159220409260).

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

890378720500 is a wasteful number, since it uses less digits than its factorization.

890378720500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158694 (or 1158682 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 890378720500 in words is "eight hundred ninety billion, three hundred seventy-eight million, seven hundred twenty thousand, five hundred".