7872005904 has 160 divisors (see below), whose sum is σ = 23985131520. Its totient is φ = 2177971200.

The previous prime is 7872005899. The next prime is 7872005951. The reversal of 7872005904 is 4095002787.

It is a super-2 number, since 2×7872005904² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1912809 + ... + 1916919.

It is an arithmetic number, because the mean of its divisors is an integer number (149907072).

Almost surely, 2^7872005904 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 7872005904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11992565760).

7872005904 is an abundant number, since it is smaller than the sum of its proper divisors (16113125616).

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

7872005904 is a wasteful number, since it uses less digits than its factorization.

7872005904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 7872005904 is about 88724.3253228786. The cubic root of 7872005904 is about 1989.2764306263.

The spelling of 7872005904 in words is "seven billion, eight hundred seventy-two million, five thousand, nine hundred four".