85790003040 has 672 divisors, whose sum is σ = 349825754880. Its totient is φ = 19466376192.

The previous prime is 85790003009. The next prime is 85790003041. The reversal of 85790003040 is 4030009758.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 85790002986 and 85790003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85790003041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 146149627 + ... + 146150213.

It is an arithmetic number, because the mean of its divisors is an integer number (520574040).

Almost surely, 2^85790003040 is an apocalyptic number.

85790003040 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 85790003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174912877440).

85790003040 is an abundant number, since it is smaller than the sum of its proper divisors (264035751840).

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

85790003040 is a wasteful number, since it uses less digits than its factorization.

85790003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 85790003040 in words is "eighty-five billion, seven hundred ninety million, three thousand, forty".