76773240 has 96 divisors (see below), whose sum is σ = 251203680. Its totient is φ = 20334336.

The previous prime is 76773233. The next prime is 76773247. The reversal of 76773240 is 4237767.

It is an interprime number because it is at equal distance from previous prime (76773233) and next prime (76773247).

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 = 76773195 and 76773204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76773247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59482 + ... + 60758.

It is an arithmetic number, because the mean of its divisors is an integer number (2616705).

Almost surely, 2^76773240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76773240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125601840).

76773240 is an abundant number, since it is smaller than the sum of its proper divisors (174430440).

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

76773240 is a wasteful number, since it uses less digits than its factorization.

76773240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 76773240 is about 8762.0340104339. The cubic root of 76773240 is about 425.0140525919.

The spelling of 76773240 in words is "seventy-six million, seven hundred seventy-three thousand, two hundred forty".