73808280 has 256 divisors, whose sum is σ = 303206400. Its totient is φ = 15552000.

The previous prime is 73808269. The next prime is 73808291. The reversal of 73808280 is 8280837.

It is an interprime number because it is at equal distance from previous prime (73808269) and next prime (73808291).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97905 + ... + 98655.

It is an arithmetic number, because the mean of its divisors is an integer number (1184400).

Almost surely, 2^73808280 is an apocalyptic number.

73808280 is a gapful number since it is divisible by the number (70) 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 73808280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151603200).

73808280 is an abundant number, since it is smaller than the sum of its proper divisors (229398120).

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

73808280 is a wasteful number, since it uses less digits than its factorization.

73808280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 73808280 is about 8591.1745413535. The cubic root of 73808280 is about 419.4707619637.

It can be divided in two parts, 73808 and 280, that added together give a cube (74088 = 42³).

The spelling of 73808280 in words is "seventy-three million, eight hundred eight thousand, two hundred eighty".