790013952 has 384 divisors, whose sum is σ = 2898604800. Its totient is φ = 207028224.

The previous prime is 790013933. The next prime is 790013963. The reversal of 790013952 is 259310097.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031858 + ... + 5032014.

It is an arithmetic number, because the mean of its divisors is an integer number (7548450).

Almost surely, 2^790013952 is an apocalyptic number.

790013952 is a gapful number since it is divisible by the number (72) 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 790013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449302400).

790013952 is an abundant number, since it is smaller than the sum of its proper divisors (2108590848).

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

790013952 is a wasteful number, since it uses less digits than its factorization.

790013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 790013952 is about 28107.1868389563. The cubic root of 790013952 is about 924.4389885718.

The spelling of 790013952 in words is "seven hundred ninety million, thirteen thousand, nine hundred fifty-two".