791883840 has 448 divisors, whose sum is σ = 2949488640. Its totient is φ = 178176000.

The previous prime is 791883839. The next prime is 791883863. The reversal of 791883840 is 48388197.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 791883840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13421731 + ... + 13421789.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^791883840 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 791883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474744320).

791883840 is an abundant number, since it is smaller than the sum of its proper divisors (2157604800).

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

791883840 is a wasteful number, since it uses less digits than its factorization.

791883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 791883840 is about 28140.4307003287. The cubic root of 791883840 is about 925.1677669893.

It can be divided in two parts, 79188 and 3840, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 791883840 in words is "seven hundred ninety-one million, eight hundred eighty-three thousand, eight hundred forty".