7770120 has 64 divisors (see below), whose sum is σ = 23656320. Its totient is φ = 2041344.

The previous prime is 7770109. The next prime is 7770121. The reversal of 7770120 is 210777.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (7770121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8317 + ... + 9203.

It is an arithmetic number, because the mean of its divisors is an integer number (369630).

Almost surely, 2^7770120 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 7770120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828160).

7770120 is an abundant number, since it is smaller than the sum of its proper divisors (15886200).

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

7770120 is a wasteful number, since it uses less digits than its factorization.

7770120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 24.

The square root of 7770120 is about 2787.4934977503. The cubic root of 7770120 is about 198.0656857874.

Adding to 7770120 its reverse (210777), we get a palindrome (7980897).

The spelling of 7770120 in words is "seven million, seven hundred seventy thousand, one hundred twenty".