97772346000 has 1200 divisors, whose sum is σ = 418257805680. Its totient is φ = 21946982400.

The previous prime is 97772345999. The next prime is 97772346019. The reversal of 97772346000 is 64327779.

It is a happy number.

97772346000 is a `hidden beast` number, since 9 + 7 + 7 + 7 + 2 + 34 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53283412224 + 44488933776 = 230832^2 + 210924^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 865241944 + ... + 865242056.

Almost surely, 2^97772346000 is an apocalyptic number.

97772346000 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 97772346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209128902840).

97772346000 is an abundant number, since it is smaller than the sum of its proper divisors (320485459680).

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

97772346000 is a wasteful number, since it uses less digits than its factorization.

97772346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 97772346000 in words is "ninety-seven billion, seven hundred seventy-two million, three hundred forty-six thousand".