790272480 has 96 divisors (see below), whose sum is σ = 2514159648. Its totient is φ = 208640000.

The previous prime is 790272473. The next prime is 790272487. The reversal of 790272480 is 84272097.

790272480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (790272473) and next prime (790272487).

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 (790272487) 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, 40330 + ... + 56630.

It is an arithmetic number, because the mean of its divisors is an integer number (26189163).

Almost surely, 2^790272480 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 790272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257079824).

790272480 is an abundant number, since it is smaller than the sum of its proper divisors (1723887168).

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

790272480 is a wasteful number, since it uses less digits than its factorization.

790272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16420 (or 16412 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 790272480 is about 28111.7854288909. The cubic root of 790272480 is about 924.5398168745.

The spelling of 790272480 in words is "seven hundred ninety million, two hundred seventy-two thousand, four hundred eighty".