7875761920 has 144 divisors (see below), whose sum is σ = 20476808352. Its totient is φ = 2884976640.

The previous prime is 7875761909. The next prime is 7875761951. The reversal of 7875761920 is 291675787.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2178034 + ... + 2181646.

It is an arithmetic number, because the mean of its divisors is an integer number (142200058).

Almost surely, 2^7875761920 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 7875761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238404176).

7875761920 is an abundant number, since it is smaller than the sum of its proper divisors (12601046432).

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

7875761920 is a wasteful number, since it uses less digits than its factorization.

7875761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 52.

The square root of 7875761920 is about 88745.4895755272. The cubic root of 7875761920 is about 1989.5927653344.

The spelling of 7875761920 in words is "seven billion, eight hundred seventy-five million, seven hundred sixty-one thousand, nine hundred twenty".