77066280 has 144 divisors (see below), whose sum is σ = 264787380. Its totient is φ = 19436544.

The previous prime is 77066263. The next prime is 77066291. The reversal of 77066280 is 8266077.

It can be written as a sum of positive squares in 2 ways, for example, as 77053284 + 12996 = 8778^2 + 114^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129664 + ... + 130256.

Almost surely, 2^77066280 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 77066280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132393690).

77066280 is an abundant number, since it is smaller than the sum of its proper divisors (187721100).

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

77066280 is a wasteful number, since it uses less digits than its factorization.

77066280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77066280 is about 8778.7402285294. The cubic root of 77066280 is about 425.5541192038.

The spelling of 77066280 in words is "seventy-seven million, sixty-six thousand, two hundred eighty".