87783444 has 144 divisors (see below), whose sum is σ = 277595136. Its totient is φ = 22809600.

The previous prime is 87783431. The next prime is 87783469. The reversal of 87783444 is 44438778.

It is a super-2 number, since 2×87783444² = 15411866081002272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87783444.

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, 132474 + ... + 133134.

It is an arithmetic number, because the mean of its divisors is an integer number (1927744).

Almost surely, 2^87783444 is an apocalyptic number.

87783444 is a gapful number since it is divisible by the number (84) 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 87783444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138797568).

87783444 is an abundant number, since it is smaller than the sum of its proper divisors (189811692).

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

87783444 is a wasteful number, since it uses less digits than its factorization.

87783444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 721 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 87783444 is about 9369.2819361998. The cubic root of 87783444 is about 444.4308576309.

The spelling of 87783444 in words is "eighty-seven million, seven hundred eighty-three thousand, four hundred forty-four".