7785533952 has 540 divisors, whose sum is σ = 27730729026. Its totient is φ = 2095349760.

The previous prime is 7785533941. The next prime is 7785533983. The reversal of 7785533952 is 2593355877.

7785533952 is a `hidden beast` number, since 7 + 7 + 8 + 553 + 39 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4931410176 + 2854123776 = 70224^2 + 53424^2 .

It is a super-2 number, since 2×7785533952² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 189891052 + ... + 189891092.

Almost surely, 2^7785533952 is an apocalyptic number.

7785533952 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 7785533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865364513).

7785533952 is an abundant number, since it is smaller than the sum of its proper divisors (19945195074).

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

7785533952 is a wasteful number, since it uses less digits than its factorization.

7785533952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 82 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The square root of 7785533952 is about 88235.6727860110. The cubic root of 7785533952 is about 1981.9657001310.

The spelling of 7785533952 in words is "seven billion, seven hundred eighty-five million, five hundred thirty-three thousand, nine hundred fifty-two".