7977504000 has 288 divisors, whose sum is σ = 27656987904. Its totient is φ = 2034278400.

The previous prime is 7977503983. The next prime is 7977504011. The reversal of 7977504000 is 4057797.

It is a self number, because there is not a number n which added to its sum of digits gives 7977504000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2206194 + ... + 2209806.

It is an arithmetic number, because the mean of its divisors is an integer number (96031208).

Almost surely, 2^7977504000 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 7977504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828493952).

7977504000 is an abundant number, since it is smaller than the sum of its proper divisors (19679483904).

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

7977504000 is a wasteful number, since it uses less digits than its factorization.

7977504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 7977504000 is about 89316.8741056246. The cubic root of 7977504000 is about 1998.1235733955.

The spelling of 7977504000 in words is "seven billion, nine hundred seventy-seven million, five hundred four thousand".