797078880 has 576 divisors, whose sum is σ = 3236163840. Its totient is φ = 183638016.

The previous prime is 797078837. The next prime is 797078921. The reversal of 797078880 is 88870797.

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 95 ways as a sum of consecutive naturals, for example, 9603319 + ... + 9603401.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2^797078880 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 797078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618081920).

797078880 is an abundant number, since it is smaller than the sum of its proper divisors (2439084960).

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

797078880 is a wasteful number, since it uses less digits than its factorization.

797078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The square root of 797078880 is about 28232.5854288976. The cubic root of 797078880 is about 927.1865022057.

The spelling of 797078880 in words is "seven hundred ninety-seven million, seventy-eight thousand, eight hundred eighty".