96788790 has 128 divisors (see below), whose sum is σ = 299013120. Its totient is φ = 21821184.

The previous prime is 96788779. The next prime is 96788801. The reversal of 96788790 is 9788769.

It is an interprime number because it is at equal distance from previous prime (96788779) and next prime (96788801).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156562 + ... + 157178.

It is an arithmetic number, because the mean of its divisors is an integer number (2336040).

Almost surely, 2^96788790 is an apocalyptic number.

96788790 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96788790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149506560).

96788790 is an abundant number, since it is smaller than the sum of its proper divisors (202224330).

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

96788790 is a wasteful number, since it uses less digits than its factorization.

96788790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 96788790 is about 9838.1293953678. The cubic root of 96788790 is about 459.1363600158.

The spelling of 96788790 in words is "ninety-six million, seven hundred eighty-eight thousand, seven hundred ninety".