8020874400 has 288 divisors, whose sum is σ = 32550916608. Its totient is φ = 1666636800.

The previous prime is 8020874383. The next prime is 8020874417. The reversal of 8020874400 is 44780208.

It is an interprime number because it is at equal distance from previous prime (8020874383) and next prime (8020874417).

It is a super-2 number, since 2×8020874400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163099 + ... + 206501.

It is an arithmetic number, because the mean of its divisors is an integer number (113024016).

Almost surely, 2^8020874400 is an apocalyptic number.

8020874400 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 8020874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275458304).

8020874400 is an abundant number, since it is smaller than the sum of its proper divisors (24530042208).

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

8020874400 is a wasteful number, since it uses less digits than its factorization.

8020874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43444 (or 43431 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 8020874400 is about 89559.3345218688. The cubic root of 8020874400 is about 2001.7380225347.

The spelling of 8020874400 in words is "eight billion, twenty million, eight hundred seventy-four thousand, four hundred".