77873250 has 192 divisors, whose sum is σ = 244992384. Its totient is φ = 16329600.

The previous prime is 77873233. The next prime is 77873251. The reversal of 77873250 is 5237877.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 77873199 and 77873208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77873251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477669 + ... + 477831.

It is an arithmetic number, because the mean of its divisors is an integer number (1276002).

Almost surely, 2^77873250 is an apocalyptic number.

77873250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77873250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122496192).

77873250 is an abundant number, since it is smaller than the sum of its proper divisors (167119134).

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

77873250 is a wasteful number, since it uses less digits than its factorization.

77873250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 77873250 is about 8824.5821430819. The cubic root of 77873250 is about 427.0343070169.

The spelling of 77873250 in words is "seventy-seven million, eight hundred seventy-three thousand, two hundred fifty".