45780800 has 168 divisors, whose sum is σ = 126991872. Its totient is φ = 16128000.

The previous prime is 45780797. The next prime is 45780809. The reversal of 45780800 is 808754.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45780809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644765 + ... + 644835.

It is an arithmetic number, because the mean of its divisors is an integer number (755904).

Almost surely, 2^45780800 is an apocalyptic number.

45780800 is a gapful number since it is divisible by the number (40) 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 45780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63495936).

45780800 is an abundant number, since it is smaller than the sum of its proper divisors (81211072).

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

45780800 is a wasteful number, since it uses less digits than its factorization.

45780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 45780800 is about 6766.1510476784. The cubic root of 45780800 is about 357.7347472850.

The spelling of 45780800 in words is "forty-five million, seven hundred eighty thousand, eight hundred".