791461800 has 192 divisors, whose sum is σ = 2756073600. Its totient is φ = 208742400.

The previous prime is 791461747. The next prime is 791461829. The reversal of 791461800 is 8164197.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523045 + ... + 524555.

It is an arithmetic number, because the mean of its divisors is an integer number (14354550).

Almost surely, 2^791461800 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 791461800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378036800).

791461800 is an abundant number, since it is smaller than the sum of its proper divisors (1964611800).

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

791461800 is a wasteful number, since it uses less digits than its factorization.

791461800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 791461800 is about 28132.9308817976. The cubic root of 791461800 is about 925.0033795835.

The spelling of 791461800 in words is "seven hundred ninety-one million, four hundred sixty-one thousand, eight hundred".