75777240 has 256 divisors, whose sum is σ = 290304000. Its totient is φ = 15367680.

The previous prime is 75777239. The next prime is 75777241. The reversal of 75777240 is 4277757.

It is an interprime number because it is at equal distance from previous prime (75777239) and next prime (75777241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75777241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545091 + ... + 545229.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^75777240 is an apocalyptic number.

75777240 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 75777240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

75777240 is an abundant number, since it is smaller than the sum of its proper divisors (214526760).

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

75777240 is a wasteful number, since it uses less digits than its factorization.

75777240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 96040, while the sum is 39.

The square root of 75777240 is about 8705.0123492158. The cubic root of 75777240 is about 423.1681060342.

The spelling of 75777240 in words is "seventy-five million, seven hundred seventy-seven thousand, two hundred forty".