790272000 has 576 divisors, whose sum is σ = 3321864000. Its totient is φ = 180633600.

The previous prime is 790271987. The next prime is 790272059. The reversal of 790272000 is 272097.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 112895997 + ... + 112896003.

It is an arithmetic number, because the mean of its divisors is an integer number (5767125).

Almost surely, 2^790272000 is an apocalyptic number.

790272000 is a gapful number since it is divisible by the number (70) 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 790272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660932000).

790272000 is an abundant number, since it is smaller than the sum of its proper divisors (2531592000).

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

790272000 is an equidigital number, since it uses as much as digits as its factorization.

790272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 790272000 is about 28111.7768915449. The cubic root of 790272000 is about 924.5396296905.

The spelling of 790272000 in words is "seven hundred ninety million, two hundred seventy-two thousand".