45778096 has 80 divisors (see below), whose sum is σ = 113992704. Its totient is φ = 17309952.

The previous prime is 45778079. The next prime is 45778097. The reversal of 45778096 is 69087754.

It is a happy number.

45778096 is a nontrivial binomial coefficient, being equal to C(9569, 2).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45778097) 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 15 ways as a sum of consecutive naturals, for example, 32805 + ... + 34171.

Almost surely, 2^45778096 is an apocalyptic number.

45778096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

45778096 is the 9568-th triangular number.

45778096 is the 3190-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45778096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

45778096 is an abundant number, since it is smaller than the sum of its proper divisors (68214608).

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

45778096 is a wasteful number, since it uses less digits than its factorization.

45778096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 45778096 is about 6765.9512265461. The cubic root of 45778096 is about 357.7277040572.

The spelling of 45778096 in words is "forty-five million, seven hundred seventy-eight thousand, ninety-six".