70812000 has 288 divisors, whose sum is σ = 288235584. Its totient is φ = 16128000.

The previous prime is 70811999. The next prime is 70812011. The reversal of 70812000 is 21807.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 251860 + ... + 252140.

It is an arithmetic number, because the mean of its divisors is an integer number (1000818).

Almost surely, 2^70812000 is an apocalyptic number.

70812000 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 70812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144117792).

70812000 is an abundant number, since it is smaller than the sum of its proper divisors (217423584).

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

70812000 is a wasteful number, since it uses less digits than its factorization.

70812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 70812000 is about 8414.9866310054. The cubic root of 70812000 is about 413.7159712554.

70812000 divided by its product of nonzero digits (112) gives a triangular number (632250 = T₁₁₂₄).

Adding to 70812000 its reverse (21807), we get a palindrome (70833807).

The spelling of 70812000 in words is "seventy million, eight hundred twelve thousand".