790836480 has 432 divisors, whose sum is σ = 3271544640. Its totient is φ = 180375552.

The previous prime is 790836463. The next prime is 790836491. The reversal of 790836480 is 84638097.

It is a happy number.

790836480 is a `hidden beast` number, since 7 + 90 + 83 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693207 + ... + 1693673.

It is an arithmetic number, because the mean of its divisors is an integer number (7573020).

Almost surely, 2^790836480 is an apocalyptic number.

790836480 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 790836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635772320).

790836480 is an abundant number, since it is smaller than the sum of its proper divisors (2480708160).

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

790836480 is a wasteful number, since it uses less digits than its factorization.

790836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 790836480 is about 28121.8150196604. The cubic root of 790836480 is about 924.7597057830.

The spelling of 790836480 in words is "seven hundred ninety million, eight hundred thirty-six thousand, four hundred eighty".