793780992 has 144 divisors (see below), whose sum is σ = 2405460960. Its totient is φ = 258048000.

The previous prime is 793780987. The next prime is 793781029. The reversal of 793780992 is 299087397.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281992 + ... + 284792.

It is an arithmetic number, because the mean of its divisors is an integer number (16704590).

Almost surely, 2^793780992 is an apocalyptic number.

793780992 is a gapful number since it is divisible by the number (72) 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 793780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202730480).

793780992 is an abundant number, since it is smaller than the sum of its proper divisors (1611679968).

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

793780992 is a wasteful number, since it uses less digits than its factorization.

793780992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 793780992 is about 28174.1191876516. The cubic root of 793780992 is about 925.9059998781.

The spelling of 793780992 in words is "seven hundred ninety-three million, seven hundred eighty thousand, nine hundred ninety-two".