7865078400 has 768 divisors, whose sum is σ = 30886416000. Its totient is φ = 1950842880.

The previous prime is 7865078399. The next prime is 7865078401. The reversal of 7865078400 is 48705687.

It is an interprime number because it is at equal distance from previous prime (7865078399) and next prime (7865078401).

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 (7865078401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107740764 + ... + 107740836.

Almost surely, 2^7865078400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7865078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443208000).

7865078400 is an abundant number, since it is smaller than the sum of its proper divisors (23021337600).

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

7865078400 is a wasteful number, since it uses less digits than its factorization.

7865078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7865078400 is about 88685.2772448731. The cubic root of 7865078400 is about 1988.6927265911.

The spelling of 7865078400 in words is "seven billion, eight hundred sixty-five million, seventy-eight thousand, four hundred".