790148064 has 96 divisors (see below), whose sum is σ = 2134411776. Its totient is φ = 255790080.

The previous prime is 790148063. The next prime is 790148111. The reversal of 790148064 is 460841097.

It is a happy number.

790148064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790148063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444239 + ... + 1444785.

It is an arithmetic number, because the mean of its divisors is an integer number (22233456).

Almost surely, 2^790148064 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 790148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067205888).

790148064 is an abundant number, since it is smaller than the sum of its proper divisors (1344263712).

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

790148064 is a wasteful number, since it uses less digits than its factorization.

790148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 790148064 is about 28109.5724620635. The cubic root of 790148064 is about 924.4912962332.

It can be divided in two parts, 79014 and 8064, that added together give a palindrome (87078).

The spelling of 790148064 in words is "seven hundred ninety million, one hundred forty-eight thousand, sixty-four".