8072804040400 has 120 divisors (see below), whose sum is σ = 21160281110688. Its totient is φ = 2935260480000.

The previous prime is 8072804040397. The next prime is 8072804040403. The reversal of 8072804040400 is 40404082708.

It is an interprime number because it is at equal distance from previous prime (8072804040397) and next prime (8072804040403).

It is a self number, because there is not a number n which added to its sum of digits gives 8072804040400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072804040403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44706295 + ... + 44886505.

Almost surely, 2^{8072804040400} is an apocalyptic number.

8072804040400 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 8072804040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580140555344).

8072804040400 is an abundant number, since it is smaller than the sum of its proper divisors (13087477070288).

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

8072804040400 is a wasteful number, since it uses less digits than its factorization.

8072804040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190421 (or 190410 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The spelling of 8072804040400 in words is "eight trillion, seventy-two billion, eight hundred four million, forty thousand, four hundred".