68777280 has 336 divisors, whose sum is σ = 279586944. Its totient is φ = 15298560.

The previous prime is 68777273. The next prime is 68777297. The reversal of 68777280 is 8277786.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411757 + ... + 411923.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2^68777280 is an apocalyptic number.

68777280 is a gapful number since it is divisible by the number (60) 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 68777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

68777280 is an abundant number, since it is smaller than the sum of its proper divisors (210809664).

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

68777280 is a wasteful number, since it uses less digits than its factorization.

68777280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 68777280 is about 8293.2068586283. The cubic root of 68777280 is about 409.7148125818.

It can be divided in two parts, 687 and 77280, that multiplied together give a triangular number (53091360 = T₁₀₃₀₄).

The spelling of 68777280 in words is "sixty-eight million, seven hundred seventy-seven thousand, two hundred eighty".