97790457600 has 810 divisors, whose sum is σ = 397689572280. Its totient is φ = 23691571200.

The previous prime is 97790457503. The next prime is 97790457679. The reversal of 97790457600 is 675409779.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 62725621 + ... + 62727179.

Almost surely, 2^97790457600 is an apocalyptic number.

97790457600 is a gapful number since it is divisible by the number (90) 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 97790457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198844786140).

97790457600 is an abundant number, since it is smaller than the sum of its proper divisors (299899114680).

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

97790457600 is a wasteful number, since it uses less digits than its factorization.

97790457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 97790457600 in words is "ninety-seven billion, seven hundred ninety million, four hundred fifty-seven thousand, six hundred".