865670400 has 648 divisors, whose sum is σ = 3756217920. Its totient is φ = 185794560.

The previous prime is 865670383. The next prime is 865670417. The reversal of 865670400 is 4076568.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (865670383) and next prime (865670417).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7660744 + ... + 7660856.

Almost surely, 2^865670400 is an apocalyptic number.

865670400 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 865670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878108960).

865670400 is an abundant number, since it is smaller than the sum of its proper divisors (2890547520).

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

865670400 is a wasteful number, since it uses less digits than its factorization.

865670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 865670400 is about 29422.2772742016. The cubic root of 865670400 is about 953.0540311218.

The spelling of 865670400 in words is "eight hundred sixty-five million, six hundred seventy thousand, four hundred".