97776000 has 384 divisors, whose sum is σ = 405437760. Its totient is φ = 22118400.

The previous prime is 97775999. The next prime is 97776001. The reversal of 97776000 is 67779.

It is an interprime number because it is at equal distance from previous prime (97775999) and next prime (97776001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97776001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1007952 + ... + 1008048.

Almost surely, 2^97776000 is an apocalyptic number.

97776000 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 97776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202718880).

97776000 is an abundant number, since it is smaller than the sum of its proper divisors (307661760).

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

97776000 is a wasteful number, since it uses less digits than its factorization.

97776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 97776000 is about 9888.1747557373. The cubic root of 97776000 is about 460.6920898936.

The spelling of 97776000 in words is "ninety-seven million, seven hundred seventy-six thousand".