7778877120 has 672 divisors, whose sum is σ = 32804868096. Its totient is φ = 1716940800.

The previous prime is 7778877109. The next prime is 7778877167. The reversal of 7778877120 is 217788777.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16873690 + ... + 16874150.

It is an arithmetic number, because the mean of its divisors is an integer number (48816768).

Almost surely, 2^7778877120 is an apocalyptic number.

7778877120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7778877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402434048).

7778877120 is an abundant number, since it is smaller than the sum of its proper divisors (25025990976).

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

7778877120 is a wasteful number, since it uses less digits than its factorization.

7778877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2151296, while the sum is 54.

The square root of 7778877120 is about 88197.9428331523. The cubic root of 7778877120 is about 1981.4006618238.

The spelling of 7778877120 in words is "seven billion, seven hundred seventy-eight million, eight hundred seventy-seven thousand, one hundred twenty".