77280000 has 360 divisors, whose sum is σ = 306501888. Its totient is φ = 16896000.

The previous prime is 77279971. The next prime is 77280031. The reversal of 77280000 is 8277.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359989 + ... + 3360011.

Almost surely, 2^77280000 is an apocalyptic number.

77280000 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 77280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153250944).

77280000 is an abundant number, since it is smaller than the sum of its proper divisors (229221888).

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

77280000 is an equidigital number, since it uses as much as digits as its factorization.

77280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 77280000 is about 8790.9043903344. The cubic root of 77280000 is about 425.9471379667.

Adding to 77280000 its reverse (8277), we get a palindrome (77288277).

The spelling of 77280000 in words is "seventy-seven million, two hundred eighty thousand".