83070074880 has 840 divisors, whose sum is σ = 324907610832. Its totient is φ = 20256915456.

The previous prime is 83070074797. The next prime is 83070074903. The reversal of 83070074880 is 8847007038.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 776355787 + ... + 776355893.

Almost surely, 2^83070074880 is an apocalyptic number.

83070074880 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 83070074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162453805416).

83070074880 is an abundant number, since it is smaller than the sum of its proper divisors (241837535952).

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

83070074880 is an equidigital number, since it uses as much as digits as its factorization.

83070074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 83070074880 in words is "eighty-three billion, seventy million, seventy-four thousand, eight hundred eighty".