7820124480 has 896 divisors, whose sum is σ = 33646018560. Its totient is φ = 1672151040.

The previous prime is 7820124479. The next prime is 7820124503. The reversal of 7820124480 is 844210287.

7820124480 is a `hidden beast` number, since 7 + 8 + 201 + 2 + 448 + 0 = 666.

It is a super-2 number, since 2×7820124480² (a number of 21 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80619792 + ... + 80619888.

It is an arithmetic number, because the mean of its divisors is an integer number (37551360).

Almost surely, 2^7820124480 is an apocalyptic number.

7820124480 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 7820124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823009280).

7820124480 is an abundant number, since it is smaller than the sum of its proper divisors (25825894080).

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

7820124480 is a wasteful number, since it uses less digits than its factorization.

7820124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 7820124480 is about 88431.4677023965. The cubic root of 7820124480 is about 1984.8966041565.

The spelling of 7820124480 in words is "seven billion, eight hundred twenty million, one hundred twenty-four thousand, four hundred eighty".