7794864 has 240 divisors, whose sum is σ = 29402880. Its totient is φ = 1866240.

The previous prime is 7794863. The next prime is 7794929. The reversal of 7794864 is 4684977.

It is a super-3 number, since 3×7794864³ (a number of 22 digits) contains 333 as substring.

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

It is a nialpdrome in base 11.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7794863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210654 + ... + 210690.

It is an arithmetic number, because the mean of its divisors is an integer number (122512).

Almost surely, 2^7794864 is an apocalyptic number.

7794864 is a gapful number since it is divisible by the number (74) 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 7794864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701440).

7794864 is an abundant number, since it is smaller than the sum of its proper divisors (21608016).

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

7794864 is a wasteful number, since it uses less digits than its factorization.

7794864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7794864 is about 2791.9283658432. The cubic root of 7794864 is about 198.2757101782.

The spelling of 7794864 in words is "seven million, seven hundred ninety-four thousand, eight hundred sixty-four".