87790512 has 80 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 27609600.

The previous prime is 87790487. The next prime is 87790519. The reversal of 87790512 is 21509778.

It is not an unprimeable number, because it can be changed into a prime (87790519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60289 + ... + 61727.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^87790512 is an apocalyptic number.

87790512 is a gapful number since it is divisible by the number (82) 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 87790512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

87790512 is an abundant number, since it is smaller than the sum of its proper divisors (152194128).

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

87790512 is a wasteful number, since it uses less digits than its factorization.

87790512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 87790512 is about 9369.6591186660. The cubic root of 87790512 is about 444.4427852901.

The spelling of 87790512 in words is "eighty-seven million, seven hundred ninety thousand, five hundred twelve".