790147680 has 192 divisors, whose sum is σ = 2994485760. Its totient is φ = 171085824.

The previous prime is 790147667. The next prime is 790147703. The reversal of 790147680 is 86741097.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57652 + ... + 70028.

It is an arithmetic number, because the mean of its divisors is an integer number (15596280).

Almost surely, 2^790147680 is an apocalyptic number.

790147680 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 790147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497242880).

790147680 is an abundant number, since it is smaller than the sum of its proper divisors (2204338080).

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

790147680 is a wasteful number, since it uses less digits than its factorization.

790147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12421 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 790147680 is about 28109.5656316493. The cubic root of 790147680 is about 924.4911464702.

The spelling of 790147680 in words is "seven hundred ninety million, one hundred forty-seven thousand, six hundred eighty".