7778417080 has 128 divisors (see below), whose sum is σ = 20765122560. Its totient is φ = 2566080000.

The previous prime is 7778417069. The next prime is 7778417113. The reversal of 7778417080 is 807148777.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568605 + ... + 1573555.

It is an arithmetic number, because the mean of its divisors is an integer number (162227520).

Almost surely, 2^7778417080 is an apocalyptic number.

7778417080 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 7778417080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382561280).

7778417080 is an abundant number, since it is smaller than the sum of its proper divisors (12986705480).

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

7778417080 is a wasteful number, since it uses less digits than its factorization.

7778417080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 49.

The square root of 7778417080 is about 88195.3347972556. The cubic root of 7778417080 is about 1981.3616012792.

It can be divided in two parts, 77784 and 17080, that added together give a square (94864 = 308²).

The spelling of 7778417080 in words is "seven billion, seven hundred seventy-eight million, four hundred seventeen thousand, eighty".