7782093072 has 180 divisors, whose sum is σ = 23854851540. Its totient is φ = 2366926848.

The previous prime is 7782093071. The next prime is 7782093107. The reversal of 7782093072 is 2703902877.

It can be written as a sum of positive squares in 6 ways, for example, as 2848997376 + 4933095696 = 53376^2 + 70236^2 .

It is not an unprimeable number, because it can be changed into a prime (7782093071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2164108 + ... + 2167700.

It is an arithmetic number, because the mean of its divisors is an integer number (132526953).

Almost surely, 2^7782093072 is an apocalyptic number.

7782093072 is a gapful number since it is divisible by the number (72) 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 7782093072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11927425770).

7782093072 is an abundant number, since it is smaller than the sum of its proper divisors (16072758468).

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

7782093072 is a wasteful number, since it uses less digits than its factorization.

7782093072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7782093072 is about 88216.1723948619. The cubic root of 7782093072 is about 1981.6736751566.

The spelling of 7782093072 in words is "seven billion, seven hundred eighty-two million, ninety-three thousand, seventy-two".