7872046820 has 24 divisors (see below), whose sum is σ = 18034144128. Its totient is φ = 2862562400.

The previous prime is 7872046811. The next prime is 7872046837. The reversal of 7872046820 is 286402787.

It is a super-2 number, since 2×7872046820² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17890796 + ... + 17891235.

It is an arithmetic number, because the mean of its divisors is an integer number (751422672).

Almost surely, 2^7872046820 is an apocalyptic number.

It is an amenable number.

7872046820 is an abundant number, since it is smaller than the sum of its proper divisors (10162097308).

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

7872046820 is a wasteful number, since it uses less digits than its factorization.

7872046820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35782051 (or 35782049 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 7872046820 is about 88724.5559019599. Note that the first 3 decimals coincide. The cubic root of 7872046820 is about 1989.2798771470.

The spelling of 7872046820 in words is "seven billion, eight hundred seventy-two million, forty-six thousand, eight hundred twenty".