70240800 has 288 divisors, whose sum is σ = 270732672. Its totient is φ = 15482880.

The previous prime is 70240789. The next prime is 70240811. The reversal of 70240800 is 804207.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70240789) and next prime (70240811).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621544 + ... + 621656.

It is an arithmetic number, because the mean of its divisors is an integer number (940044).

Almost surely, 2^70240800 is an apocalyptic number.

70240800 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 70240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366336).

70240800 is an abundant number, since it is smaller than the sum of its proper divisors (200491872).

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

70240800 is a wasteful number, since it uses less digits than its factorization.

70240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 70240800 is about 8380.9784631629. The cubic root of 70240800 is about 412.6005631769.

The spelling of 70240800 in words is "seventy million, two hundred forty thousand, eight hundred".