87742980 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 20805120.

The previous prime is 87742943. The next prime is 87742997. The reversal of 87742980 is 8924778.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203365 + ... + 203795.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^87742980 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 87742980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

87742980 is an abundant number, since it is smaller than the sum of its proper divisors (217076220).

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

87742980 is a wasteful number, since it uses less digits than its factorization.

87742980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87742980 is about 9367.1222902234. The cubic root of 87742980 is about 444.3625599608.

The spelling of 87742980 in words is "eighty-seven million, seven hundred forty-two thousand, nine hundred eighty".