87305033790 has 128 divisors (see below), whose sum is σ = 253896652800. Its totient is φ = 21218371200.

The previous prime is 87305033749. The next prime is 87305033819. The reversal of 87305033790 is 9733050378.

87305033790 is a `hidden beast` number, since 8 + 7 + 305 + 0 + 337 + 9 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119865 + ... + 434715.

It is an arithmetic number, because the mean of its divisors is an integer number (1983567600).

Almost surely, 2^87305033790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87305033790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126948326400).

87305033790 is an abundant number, since it is smaller than the sum of its proper divisors (166591619010).

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

87305033790 is a wasteful number, since it uses less digits than its factorization.

87305033790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314959 (or 314953 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 87305033790 in words is "eighty-seven billion, three hundred five million, thirty-three thousand, seven hundred ninety".