800097600 has 336 divisors, whose sum is σ = 2862356480. Its totient is φ = 194918400.

The previous prime is 800097589. The next prime is 800097611. The reversal of 800097600 is 6790008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800097589) and next prime (800097611).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2827059 + ... + 2827341.

Almost surely, 2^800097600 is an apocalyptic number.

800097600 is a gapful number since it is divisible by the number (80) 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 800097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431178240).

800097600 is an abundant number, since it is smaller than the sum of its proper divisors (2062258880).

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

800097600 is a wasteful number, since it uses less digits than its factorization.

800097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 800097600 is about 28285.9965353883. The cubic root of 800097600 is about 928.3555167766.

The spelling of 800097600 in words is "eight hundred million, ninety-seven thousand, six hundred".