73790640 has 300 divisors, whose sum is σ = 311535120. Its totient is φ = 15333120.

The previous prime is 73790627. The next prime is 73790653. The reversal of 73790640 is 4609737.

73790640 is a `hidden beast` number, since 7 + 3 + 7 + 9 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (73790627) and next prime (73790653).

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

It is a junction number, because it is equal to n+sod(n) for n = 73790595 and 73790604.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 6708235 + ... + 6708245.

Almost surely, 2^73790640 is an apocalyptic number.

73790640 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 73790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155767560).

73790640 is an abundant number, since it is smaller than the sum of its proper divisors (237744480).

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

73790640 is a wasteful number, since it uses less digits than its factorization.

73790640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 73790640 is about 8590.1478450606. The cubic root of 73790640 is about 419.4373418027.

The spelling of 73790640 in words is "seventy-three million, seven hundred ninety thousand, six hundred forty".