8278401600 has 504 divisors, whose sum is σ = 35612149248. Its totient is φ = 1780531200.

The previous prime is 8278401587. The next prime is 8278401613. The reversal of 8278401600 is 61048728.

8278401600 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 40 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (8278401587) and next prime (8278401613).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1711185 + ... + 1716015.

Almost surely, 2^8278401600 is an apocalyptic number.

8278401600 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 8278401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806074624).

8278401600 is an abundant number, since it is smaller than the sum of its proper divisors (27333747648).

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

8278401600 is a wasteful number, since it uses less digits than its factorization.

8278401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8278401600 is about 90985.7219567994. The cubic root of 8278401600 is about 2022.9360956038.

The spelling of 8278401600 in words is "eight billion, two hundred seventy-eight million, four hundred one thousand, six hundred".