867761370 has 128 divisors (see below), whose sum is σ = 2716300800. Its totient is φ = 192969216.

The previous prime is 867761357. The next prime is 867761383. The reversal of 867761370 is 73167768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (867761357) and next prime (867761383).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63726 + ... + 76134.

It is an arithmetic number, because the mean of its divisors is an integer number (21221100).

Almost surely, 2^867761370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867761370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358150400).

867761370 is an abundant number, since it is smaller than the sum of its proper divisors (1848539430).

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

867761370 is a wasteful number, since it uses less digits than its factorization.

867761370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12469 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 867761370 is about 29457.7896319463. The cubic root of 867761370 is about 953.8207605986.

The spelling of 867761370 in words is "eight hundred sixty-seven million, seven hundred sixty-one thousand, three hundred seventy".