858372768 has 192 divisors, whose sum is σ = 2806151040. Its totient is φ = 252979200.

The previous prime is 858372743. The next prime is 858372793. The reversal of 858372768 is 867273858.

It is an interprime number because it is at equal distance from previous prime (858372743) and next prime (858372793).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350428 + ... + 352868.

It is an arithmetic number, because the mean of its divisors is an integer number (14615370).

Almost surely, 2^858372768 is an apocalyptic number.

858372768 is a gapful number since it is divisible by the number (88) 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 858372768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403075520).

858372768 is an abundant number, since it is smaller than the sum of its proper divisors (1947778272).

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

858372768 is a wasteful number, since it uses less digits than its factorization.

858372768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2494 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 858372768 is about 29297.9993856236. Note that the first 3 decimals coincide. The cubic root of 858372768 is about 950.3683771745.

The spelling of 858372768 in words is "eight hundred fifty-eight million, three hundred seventy-two thousand, seven hundred sixty-eight".