90345780 has 240 divisors, whose sum is σ = 335655936. Its totient is φ = 19906560.

The previous prime is 90345763. The next prime is 90345781. The reversal of 90345780 is 8754309.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90345781) 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 79 ways as a sum of consecutive naturals, for example, 351412 + ... + 351668.

Almost surely, 2^90345780 is an apocalyptic number.

90345780 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 90345780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167827968).

90345780 is an abundant number, since it is smaller than the sum of its proper divisors (245310156).

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

90345780 is a wasteful number, since it uses less digits than its factorization.

90345780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90345780 is about 9505.0397158560. The cubic root of 90345780 is about 448.7136597900.

It can be divided in two parts, 90345 and 780, that added together give a cube (91125 = 45³).

The spelling of 90345780 in words is "ninety million, three hundred forty-five thousand, seven hundred eighty".