87783600 has 120 divisors (see below), whose sum is σ = 283410432. Its totient is φ = 23225600.

The previous prime is 87783547. The next prime is 87783607. The reversal of 87783600 is 638778.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87783607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229009 + ... + 229391.

Almost surely, 2^87783600 is an apocalyptic number.

87783600 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 87783600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141705216).

87783600 is an abundant number, since it is smaller than the sum of its proper divisors (195626832).

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

87783600 is a wasteful number, since it uses less digits than its factorization.

87783600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 87783600 is about 9369.2902612738. The cubic root of 87783600 is about 444.4311208969.

The spelling of 87783600 in words is "eighty-seven million, seven hundred eighty-three thousand, six hundred".