80761590 has 256 divisors, whose sum is σ = 280627200. Its totient is φ = 16049664.

The previous prime is 80761561. The next prime is 80761591. The reversal of 80761590 is 9516708.

80761590 is a `hidden beast` number, since 8 + 0 + 7 + 61 + 590 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80761591) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 466744 + ... + 466916.

It is an arithmetic number, because the mean of its divisors is an integer number (1096200).

Almost surely, 2^80761590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80761590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313600).

80761590 is an abundant number, since it is smaller than the sum of its proper divisors (199865610).

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

80761590 is a wasteful number, since it uses less digits than its factorization.

80761590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 80761590 is about 8986.7452395180. The cubic root of 80761590 is about 432.2499518026.

The spelling of 80761590 in words is "eighty million, seven hundred sixty-one thousand, five hundred ninety".