796269600 has 648 divisors, whose sum is σ = 3409539588. Its totient is φ = 174182400.

The previous prime is 796269589. The next prime is 796269601. The reversal of 796269600 is 6962697.

It can be written as a sum of positive squares in 6 ways, for example, as 231161616 + 565107984 = 15204^2 + 23772^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (796269601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13053570 + ... + 13053630.

Almost surely, 2^796269600 is an apocalyptic number.

796269600 is a gapful number since it is divisible by the number (70) 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 796269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704769794).

796269600 is an abundant number, since it is smaller than the sum of its proper divisors (2613269988).

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

796269600 is a wasteful number, since it uses less digits than its factorization.

796269600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 796269600 is about 28218.2494141646. The cubic root of 796269600 is about 926.8726028744.

The spelling of 796269600 in words is "seven hundred ninety-six million, two hundred sixty-nine thousand, six hundred".