7607821872 has 160 divisors (see below), whose sum is σ = 23485068288. Its totient is φ = 2074963968.

The previous prime is 7607821831. The next prime is 7607821909. The reversal of 7607821872 is 2781287067.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7364268 + ... + 7365300.

Almost surely, 2^7607821872 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 7607821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11742534144).

7607821872 is an abundant number, since it is smaller than the sum of its proper divisors (15877246416).

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

7607821872 is a wasteful number, since it uses less digits than its factorization.

7607821872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 7607821872 is about 87222.8288465812. The cubic root of 7607821872 is about 1966.7694112877.

The spelling of 7607821872 in words is "seven billion, six hundred seven million, eight hundred twenty-one thousand, eight hundred seventy-two".