97778520 has 288 divisors, whose sum is σ = 387335520. Its totient is φ = 21288960.

The previous prime is 97778491. The next prime is 97778521. The reversal of 97778520 is 2587779.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97778521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405600 + ... + 405840.

It is an arithmetic number, because the mean of its divisors is an integer number (1344915).

Almost surely, 2^97778520 is an apocalyptic number.

97778520 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 97778520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193667760).

97778520 is an abundant number, since it is smaller than the sum of its proper divisors (289557000).

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

97778520 is a wasteful number, since it uses less digits than its factorization.

97778520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 97778520 is about 9888.3021798487. The cubic root of 97778520 is about 460.6960476955.

It can be divided in two parts, 977 and 78520, that added together give a palindrome (79497).

The spelling of 97778520 in words is "ninety-seven million, seven hundred seventy-eight thousand, five hundred twenty".