290079680 has 112 divisors (see below), whose sum is σ = 786530304. Its totient is φ = 100869120.

The previous prime is 290079613. The next prime is 290079683. The reversal of 290079680 is 86970092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290079683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79169 + ... + 82751.

It is an arithmetic number, because the mean of its divisors is an integer number (7022592).

Almost surely, 2^290079680 is an apocalyptic number.

290079680 is a gapful number since it is divisible by the number (20) 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 290079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393265152).

290079680 is an abundant number, since it is smaller than the sum of its proper divisors (496450624).

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

290079680 is a wasteful number, since it uses less digits than its factorization.

290079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 290079680 is about 17031.7256906046. The cubic root of 290079680 is about 661.9712111320.

The spelling of 290079680 in words is "two hundred ninety million, seventy-nine thousand, six hundred eighty".