70142800 has 240 divisors, whose sum is σ = 216986112. Its totient is φ = 21196800.

The previous prime is 70142777. The next prime is 70142803. The reversal of 70142800 is 824107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70142803) by changing a digit.

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, 1492377 + ... + 1492423.

Almost surely, 2^70142800 is an apocalyptic number.

70142800 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 70142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108493056).

70142800 is an abundant number, since it is smaller than the sum of its proper divisors (146843312).

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

70142800 is a wasteful number, since it uses less digits than its factorization.

70142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 70142800 is about 8375.1298497396. The cubic root of 70142800 is about 412.4085870287.

Adding to 70142800 its reverse (824107), we get a palindrome (70966907).

The spelling of 70142800 in words is "seventy million, one hundred forty-two thousand, eight hundred".