7906550400 has 768 divisors, whose sum is σ = 35060256000. Its totient is φ = 1698693120.

The previous prime is 7906550359. The next prime is 7906550429. The reversal of 7906550400 is 40556097.

7906550400 is a `hidden beast` number, since 7 + 90 + 65 + 504 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10281216 + ... + 10281984.

It is an arithmetic number, because the mean of its divisors is an integer number (45651375).

Almost surely, 2^7906550400 is an apocalyptic number.

7906550400 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 7906550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530128000).

7906550400 is an abundant number, since it is smaller than the sum of its proper divisors (27153705600).

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

7906550400 is a wasteful number, since it uses less digits than its factorization.

7906550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7906550400 is about 88918.7854168060. The cubic root of 7906550400 is about 1992.1820126908.

The spelling of 7906550400 in words is "seven billion, nine hundred six million, five hundred fifty thousand, four hundred".