790271040 has 168 divisors, whose sum is σ = 2717523648. Its totient is φ = 194488320.

The previous prime is 790271039. The next prime is 790271051. The reversal of 790271040 is 40172097.

790271040 = T₁₆ + T₁₇ + ... + T₁₆₇₉.

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

It is a junction number, because it is equal to n+sod(n) for n = 790270989 and 790271007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159805 + ... + 164675.

It is an arithmetic number, because the mean of its divisors is an integer number (16175736).

Almost surely, 2^790271040 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 790271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358761824).

790271040 is an abundant number, since it is smaller than the sum of its proper divisors (1927252608).

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

790271040 is a wasteful number, since it uses less digits than its factorization.

790271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 790271040 is about 28111.7598168453. The cubic root of 790271040 is about 924.5392553222.

The spelling of 790271040 in words is "seven hundred ninety million, two hundred seventy-one thousand, forty".