8070215040 has 384 divisors, whose sum is σ = 30142101600. Its totient is φ = 1982693376.

The previous prime is 8070215029. The next prime is 8070215053. The reversal of 8070215040 is 405120708.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 8070214995 and 8070215013.

It is a congruent number.

It is an unprimeable number.

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, 4048284 + ... + 4050276.

Almost surely, 2^8070215040 is an apocalyptic number.

8070215040 is a gapful number since it is divisible by the number (80) 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 8070215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071050800).

8070215040 is an abundant number, since it is smaller than the sum of its proper divisors (22071886560).

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

8070215040 is a wasteful number, since it uses less digits than its factorization.

8070215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 8070215040 is about 89834.3756031064. The cubic root of 8070215040 is about 2005.8342177362.

Adding to 8070215040 its reverse (405120708), we get a palindrome (8475335748).

The spelling of 8070215040 in words is "eight billion, seventy million, two hundred fifteen thousand, forty".