70742880 has 144 divisors (see below), whose sum is σ = 260048880. Its totient is φ = 17409024.

The previous prime is 70742879. The next prime is 70742887. The reversal of 70742880 is 8824707.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70742887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16831 + ... + 20609.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^70742880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130024440).

70742880 is an abundant number, since it is smaller than the sum of its proper divisors (189306000).

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

70742880 is a wasteful number, since it uses less digits than its factorization.

70742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 70742880 is about 8410.8786699132. The cubic root of 70742880 is about 413.5813172550.

The spelling of 70742880 in words is "seventy million, seven hundred forty-two thousand, eight hundred eighty".