790225497600 has 1920 divisors, whose sum is σ = 3507204096000. Its totient is φ = 151820697600.

The previous prime is 790225497571. The next prime is 790225497637. The reversal of 790225497600 is 6794522097.

790225497600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3970982301 + ... + 3970982499.

It is an arithmetic number, because the mean of its divisors is an integer number (1826668800).

Almost surely, 2^790225497600 is an apocalyptic number.

790225497600 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 790225497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753602048000).

790225497600 is an abundant number, since it is smaller than the sum of its proper divisors (2716978598400).

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

790225497600 is a wasteful number, since it uses less digits than its factorization.

790225497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 790225497600 in words is "seven hundred ninety billion, two hundred twenty-five million, four hundred ninety-seven thousand, six hundred".