87758892 has 144 divisors (see below), whose sum is σ = 258306048. Its totient is φ = 24900480.

The previous prime is 87758813. The next prime is 87758899. The reversal of 87758892 is 29885778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87758899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333553 + ... + 333815.

It is an arithmetic number, because the mean of its divisors is an integer number (1793792).

Almost surely, 2^87758892 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 87758892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024).

87758892 is an abundant number, since it is smaller than the sum of its proper divisors (170547156).

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

87758892 is a wasteful number, since it uses less digits than its factorization.

87758892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 87758892 is about 9367.9716054224. The cubic root of 87758892 is about 444.3894197342.

The spelling of 87758892 in words is "eighty-seven million, seven hundred fifty-eight thousand, eight hundred ninety-two".