8135078400 has 240 divisors, whose sum is σ = 29860960800. Its totient is φ = 2169262080.

The previous prime is 8135078387. The next prime is 8135078407. The reversal of 8135078400 is 48705318.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8135078407) 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, 333831 + ... + 357369.

It is an arithmetic number, because the mean of its divisors is an integer number (124420670).

Almost surely, 2^8135078400 is an apocalyptic number.

8135078400 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 8135078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14930480400).

8135078400 is an abundant number, since it is smaller than the sum of its proper divisors (21725882400).

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

8135078400 is a wasteful number, since it uses less digits than its factorization.

8135078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23576 (or 23549 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8135078400 is about 90194.6694655510. The cubic root of 8135078400 is about 2011.1937662500.

The spelling of 8135078400 in words is "eight billion, one hundred thirty-five million, seventy-eight thousand, four hundred".