70642800 has 240 divisors, whose sum is σ = 260776960. Its totient is φ = 18144000.

The previous prime is 70642787. The next prime is 70642801. The reversal of 70642800 is 824607.

70642800 = T₁₂₈₀ + T₁₂₈₁ + ... + T₁₃₆₀.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70642801) 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 47 ways as a sum of consecutive naturals, for example, 334695 + ... + 334905.

Almost surely, 2^70642800 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 70642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130388480).

70642800 is an abundant number, since it is smaller than the sum of its proper divisors (190134160).

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

70642800 is a wasteful number, since it uses less digits than its factorization.

70642800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 70642800 is about 8404.9271263944. The cubic root of 70642800 is about 413.3861939563.

The spelling of 70642800 in words is "seventy million, six hundred forty-two thousand, eight hundred".