858538080 has 216 divisors, whose sum is σ = 3113746272. Its totient is φ = 215371776.

The previous prime is 858538033. The next prime is 858538081. The reversal of 858538080 is 80835858.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858538081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 415129 + ... + 417191.

It is an arithmetic number, because the mean of its divisors is an integer number (14415492).

Almost surely, 2^858538080 is an apocalyptic number.

858538080 is a gapful number since it is divisible by the number (80) 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 858538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556873136).

858538080 is an abundant number, since it is smaller than the sum of its proper divisors (2255208192).

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

858538080 is a wasteful number, since it uses less digits than its factorization.

858538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 858538080 is about 29300.8204663282. The cubic root of 858538080 is about 950.4293829980.

It can be divided in two parts, 8585 and 38080, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 858538080 in words is "eight hundred fifty-eight million, five hundred thirty-eight thousand, eighty".