8078498400 has 288 divisors, whose sum is σ = 30548544768. Its totient is φ = 1816012800.

The previous prime is 8078498383. The next prime is 8078498423. The reversal of 8078498400 is 48948708.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8078498400.

It is a congruent number.

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, 1020859 + ... + 1028741.

It is an arithmetic number, because the mean of its divisors is an integer number (106071336).

Almost surely, 2^8078498400 is an apocalyptic number.

8078498400 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 8078498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274272384).

8078498400 is an abundant number, since it is smaller than the sum of its proper divisors (22470046368).

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

8078498400 is a wasteful number, since it uses less digits than its factorization.

8078498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 8078498400 is about 89880.4672885049. The cubic root of 8078498400 is about 2006.5202533812.

The spelling of 8078498400 in words is "eight billion, seventy-eight million, four hundred ninety-eight thousand, four hundred".