7812976500 has 720 divisors, whose sum is σ = 30849122304. Its totient is φ = 1714608000.

The previous prime is 7812976481. The next prime is 7812976511. The reversal of 7812976500 is 56792187.

7812976500 is a `hidden beast` number, since 78 + 1 + 2 + 9 + 76 + 500 = 666.

It is a super-2 number, since 2×7812976500² (a number of 21 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 61519437 + ... + 61519563.

Almost surely, 2^7812976500 is an apocalyptic number.

7812976500 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 7812976500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424561152).

7812976500 is an abundant number, since it is smaller than the sum of its proper divisors (23036145804).

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

7812976500 is a wasteful number, since it uses less digits than its factorization.

7812976500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 7812976500 is about 88391.0430982687. The cubic root of 7812976500 is about 1984.2916552922.

The spelling of 7812976500 in words is "seven billion, eight hundred twelve million, nine hundred seventy-six thousand, five hundred".