7872908400 has 1260 divisors, whose sum is σ = 35922756600. Its totient is φ = 1646023680.

The previous prime is 7872908387. The next prime is 7872908401. The reversal of 7872908400 is 48092787.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872908401) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 271479586 + ... + 271479614.

Almost surely, 2^7872908400 is an apocalyptic number.

7872908400 is a gapful number since it is divisible by the number (70) 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 7872908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17961378300).

7872908400 is an abundant number, since it is smaller than the sum of its proper divisors (28049848200).

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

7872908400 is a wasteful number, since it uses less digits than its factorization.

7872908400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7872908400 is about 88729.4111329496. The cubic root of 7872908400 is about 1989.3524487526.

The spelling of 7872908400 in words is "seven billion, eight hundred seventy-two million, nine hundred eight thousand, four hundred".