7874276400 has 540 divisors, whose sum is σ = 29587121928. Its totient is φ = 1938401280.

The previous prime is 7874276363. The next prime is 7874276411. The reversal of 7874276400 is 46724787.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 94870759 + ... + 94870841.

Almost surely, 2^7874276400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7874276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793560964).

7874276400 is an abundant number, since it is smaller than the sum of its proper divisors (21712845528).

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

7874276400 is a wasteful number, since it uses less digits than its factorization.

7874276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 7874276400 is about 88737.1196287101. The cubic root of 7874276400 is about 1989.4676656627.

The spelling of 7874276400 in words is "seven billion, eight hundred seventy-four million, two hundred seventy-six thousand, four hundred".