97778880 has 112 divisors (see below), whose sum is σ = 344972640. Its totient is φ = 26072064.

The previous prime is 97778873. The next prime is 97778881. The reversal of 97778880 is 8887779.

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

It is not an unprimeable number, because it can be changed into a prime (97778881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2982 + ... + 14298.

Almost surely, 2^97778880 is an apocalyptic number.

97778880 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 97778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172486320).

97778880 is an abundant number, since it is smaller than the sum of its proper divisors (247193760).

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

97778880 is a wasteful number, since it uses less digits than its factorization.

97778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The square root of 97778880 is about 9888.3203831591. The cubic root of 97778880 is about 460.6966130902.

The spelling of 97778880 in words is "ninety-seven million, seven hundred seventy-eight thousand, eight hundred eighty".