790001760 has 288 divisors, whose sum is σ = 2739260160. Its totient is φ = 190826496.

The previous prime is 790001759. The next prime is 790001761. The reversal of 790001760 is 67100097.

It is an interprime number because it is at equal distance from previous prime (790001759) and next prime (790001761).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790001761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7669869 + ... + 7669971.

It is an arithmetic number, because the mean of its divisors is an integer number (9511320).

Almost surely, 2^790001760 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 790001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369630080).

790001760 is an abundant number, since it is smaller than the sum of its proper divisors (1949258400).

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

790001760 is a wasteful number, since it uses less digits than its factorization.

790001760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 790001760 is about 28106.9699540879. The cubic root of 790001760 is about 924.4342330363.

The spelling of 790001760 in words is "seven hundred ninety million, one thousand, seven hundred sixty".