7770418920 has 384 divisors, whose sum is σ = 28931385600. Its totient is φ = 1791283200.

The previous prime is 7770418913. The next prime is 7770418921. The reversal of 7770418920 is 298140777.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7770418921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8153164 + ... + 8154116.

It is an arithmetic number, because the mean of its divisors is an integer number (75342150).

Almost surely, 2^7770418920 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 7770418920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465692800).

7770418920 is an abundant number, since it is smaller than the sum of its proper divisors (21160966680).

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

7770418920 is a wasteful number, since it uses less digits than its factorization.

7770418920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 7770418920 is about 88149.9796937016. The cubic root of 7770418920 is about 1980.6822564677.

The spelling of 7770418920 in words is "seven billion, seven hundred seventy million, four hundred eighteen thousand, nine hundred twenty".