7861920 has 96 divisors (see below), whose sum is σ = 27034560. Its totient is φ = 1904640.

The previous prime is 7861907. The next prime is 7861933. The reversal of 7861920 is 291687.

It is an interprime number because it is at equal distance from previous prime (7861907) and next prime (7861933).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4536 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (281610).

Almost surely, 2^7861920 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 7861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517280).

7861920 is an abundant number, since it is smaller than the sum of its proper divisors (19172640).

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

7861920 is a wasteful number, since it uses less digits than its factorization.

7861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7861920 is about 2803.9115535266. The cubic root of 7861920 is about 198.8426489446.

The spelling of 7861920 in words is "seven million, eight hundred sixty-one thousand, nine hundred twenty".