87734880 has 192 divisors, whose sum is σ = 320785920. Its totient is φ = 22353408.

The previous prime is 87734879. The next prime is 87734939. The reversal of 87734880 is 8843778.

It is a super-2 number, since 2×87734880² = 15394818337228800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 98919 + ... + 99801.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^87734880 is an apocalyptic number.

87734880 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 87734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

87734880 is an abundant number, since it is smaller than the sum of its proper divisors (233051040).

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

87734880 is a wasteful number, since it uses less digits than its factorization.

87734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 87734880 is about 9366.6899169344. The cubic root of 87734880 is about 444.3488857520.

The spelling of 87734880 in words is "eighty-seven million, seven hundred thirty-four thousand, eight hundred eighty".