799758400 has 189 divisors, whose sum is σ = 2312085927. Its totient is φ = 271488000.

The previous prime is 799758389. The next prime is 799758403. The reversal of 799758400 is 4857997.

It is a happy number.

The square root of 799758400 is 28280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 147671104 + 652087296 = 12152^2 + 25536^2 .

It is a super-2 number, since 2×799758400² = 1279226996741120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (799758403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7918350 + ... + 7918450.

Almost surely, 2^799758400 is an apocalyptic number.

799758400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

799758400 is the 28280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799758400

799758400 is an abundant number, since it is smaller than the sum of its proper divisors (1512327527).

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

799758400 is a wasteful number, since it uses less digits than its factorization.

799758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The cubic root of 799758400 is about 928.2243066584.

Multiplying 799758400 by its sum of digits (49), we get a square (39188161600 = 197960²).

799758400 divided by its sum of digits (49) gives a square (16321600 = 4040²).

The spelling of 799758400 in words is "seven hundred ninety-nine million, seven hundred fifty-eight thousand, four hundred".