868770000 has 450 divisors, whose sum is σ = 3552189498. Its totient is φ = 197568000.

The previous prime is 868769981. The next prime is 868770013. The reversal of 868770000 is 77868.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 105021504 + 763748496 = 10248^2 + 27636^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×868770000² = 1509522625800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4409902 + ... + 4410098.

Almost surely, 2^868770000 is an apocalyptic number.

868770000 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 868770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776094749).

868770000 is an abundant number, since it is smaller than the sum of its proper divisors (2683419498).

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

868770000 is a wasteful number, since it uses less digits than its factorization.

868770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 868770000 is about 29474.9045799982. The cubic root of 868770000 is about 954.1901708094.

It can be divided in two parts, 8687 and 70000, that added together give a palindrome (78687).

The spelling of 868770000 in words is "eight hundred sixty-eight million, seven hundred seventy thousand".