45779800 has 48 divisors (see below), whose sum is σ = 116119800. Its totient is φ = 16646400.

The previous prime is 45779761. The next prime is 45779807. The reversal of 45779800 is 897754.

45779800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45779807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8205 + ... + 12604.

Almost surely, 2^45779800 is an apocalyptic number.

45779800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45779800 is an abundant number, since it is smaller than the sum of its proper divisors (70340000).

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

45779800 is a wasteful number, since it uses less digits than its factorization.

45779800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20836 (or 20827 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 45779800 is about 6766.0771500183. The cubic root of 45779800 is about 357.7321425733.

The spelling of 45779800 in words is "forty-five million, seven hundred seventy-nine thousand, eight hundred".