8301290400 has 1152 divisors, whose sum is σ = 35907701760. Its totient is φ = 1831403520.

The previous prime is 8301290321. The next prime is 8301290407. The reversal of 8301290400 is 40921038.

It is a super-2 number, since 2×8301290400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8301290407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176623177 + ... + 176623223.

It is an arithmetic number, because the mean of its divisors is an integer number (31169880).

Almost surely, 2^8301290400 is an apocalyptic number.

8301290400 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 8301290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953850880).

8301290400 is an abundant number, since it is smaller than the sum of its proper divisors (27606411360).

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

8301290400 is a wasteful number, since it uses less digits than its factorization.

8301290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8301290400 is about 91111.4175062599. The cubic root of 8301290400 is about 2024.7987728714.

The spelling of 8301290400 in words is "eight billion, three hundred one million, two hundred ninety thousand, four hundred".