796981248 has 384 divisors, whose sum is σ = 2830464000. Its totient is φ = 216760320.

The previous prime is 796981231. The next prime is 796981271. The reversal of 796981248 is 842189697.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1741824) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 796981194 and 796981203.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11225053 + ... + 11225123.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^796981248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232000).

796981248 is an abundant number, since it is smaller than the sum of its proper divisors (2033482752).

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

796981248 is a wasteful number, since it uses less digits than its factorization.

796981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 796981248 is about 28230.8563100732. The cubic root of 796981248 is about 927.1486444850.

The spelling of 796981248 in words is "seven hundred ninety-six million, nine hundred eighty-one thousand, two hundred forty-eight".