7788493440 has 960 divisors, whose sum is σ = 34691880960. Its totient is φ = 1630347264.

The previous prime is 7788493439. The next prime is 7788493463. The reversal of 7788493440 is 443948877.

7788493440 is a `hidden beast` number, since 77 + 88 + 493 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61326657 + ... + 61326783.

It is an arithmetic number, because the mean of its divisors is an integer number (36137376).

Almost surely, 2^7788493440 is an apocalyptic number.

7788493440 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 7788493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345940480).

7788493440 is an abundant number, since it is smaller than the sum of its proper divisors (26903387520).

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

7788493440 is a wasteful number, since it uses less digits than its factorization.

7788493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 7788493440 is about 88252.4415526279. The cubic root of 7788493440 is about 1982.2168008980.

The spelling of 7788493440 in words is "seven billion, seven hundred eighty-eight million, four hundred ninety-three thousand, four hundred forty".