77049280 has 224 divisors, whose sum is σ = 237012480. Its totient is φ = 23162880.

The previous prime is 77049277. The next prime is 77049299. The reversal of 77049280 is 8294077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305891 + ... + 1305949.

Almost surely, 2^77049280 is an apocalyptic number.

77049280 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 77049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118506240).

77049280 is an abundant number, since it is smaller than the sum of its proper divisors (159963200).

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

77049280 is a wasteful number, since it uses less digits than its factorization.

77049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 77049280 is about 8777.7719268616. The cubic root of 77049280 is about 425.5228260016.

It can be divided in two parts, 770 and 49280, that multiplied together give a square (37945600 = 6160²).

The spelling of 77049280 in words is "seventy-seven million, forty-nine thousand, two hundred eighty".