7828849756 has 288 divisors, whose sum is σ = 19305216000. Its totient is φ = 2739889152.

The previous prime is 7828849751. The next prime is 7828849811. The reversal of 7828849756 is 6579488287.

It is a super-2 number, since 2×7828849756² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828849751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87964560 + ... + 87964648.

It is an arithmetic number, because the mean of its divisors is an integer number (67032000).

Almost surely, 2^7828849756 is an apocalyptic number.

7828849756 is a gapful number since it is divisible by the number (76) 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 7828849756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608000).

7828849756 is an abundant number, since it is smaller than the sum of its proper divisors (11476366244).

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

7828849756 is a wasteful number, since it uses less digits than its factorization.

7828849756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 64.

The square root of 7828849756 is about 88480.7874964955. The cubic root of 7828849756 is about 1985.6345435426.

The spelling of 7828849756 in words is "seven billion, eight hundred twenty-eight million, eight hundred forty-nine thousand, seven hundred fifty-six".