87768450 has 288 divisors, whose sum is σ = 313372800. Its totient is φ = 17049600.

The previous prime is 87768449. The next prime is 87768451. The reversal of 87768450 is 5486778.

It is an interprime number because it is at equal distance from previous prime (87768449) and next prime (87768451).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 87768396 and 87768405.

It is not an unprimeable number, because it can be changed into a prime (87768451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 588976 + ... + 589124.

It is an arithmetic number, because the mean of its divisors is an integer number (1088100).

Almost surely, 2^87768450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87768450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

87768450 is an abundant number, since it is smaller than the sum of its proper divisors (225604350).

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

87768450 is a wasteful number, since it uses less digits than its factorization.

87768450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87768450 is about 9368.4817339844. The cubic root of 87768450 is about 444.4055522680.

The spelling of 87768450 in words is "eighty-seven million, seven hundred sixty-eight thousand, four hundred fifty".