7900008480 has 864 divisors, whose sum is σ = 35227954944. Its totient is φ = 1569632256.

The previous prime is 7900008451. The next prime is 7900008503. The reversal of 7900008480 is 848000097.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47305357 + ... + 47305523.

It is an arithmetic number, because the mean of its divisors is an integer number (40773096).

Almost surely, 2^7900008480 is an apocalyptic number.

7900008480 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 7900008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613977472).

7900008480 is an abundant number, since it is smaller than the sum of its proper divisors (27327946464).

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

7900008480 is a wasteful number, since it uses less digits than its factorization.

7900008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7900008480 is about 88881.9918768701. The cubic root of 7900008480 is about 1991.6324139072.

The spelling of 7900008480 in words is "seven billion, nine hundred million, eight thousand, four hundred eighty".