96780600 has 144 divisors (see below), whose sum is σ = 371501520. Its totient is φ = 22118400.

The previous prime is 96780599. The next prime is 96780601. The reversal of 96780600 is 608769.

It is an interprime number because it is at equal distance from previous prime (96780599) and next prime (96780601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96780601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8760 + ... + 16440.

Almost surely, 2^96780600 is an apocalyptic number.

96780600 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 96780600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185750760).

96780600 is an abundant number, since it is smaller than the sum of its proper divisors (274720920).

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

96780600 is a wasteful number, since it uses less digits than its factorization.

96780600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 96780600 is about 9837.7131488980. The cubic root of 96780600 is about 459.1234093671.

The spelling of 96780600 in words is "ninety-six million, seven hundred eighty thousand, six hundred".