77048010 has 128 divisors (see below), whose sum is σ = 224824320. Its totient is φ = 18895680.

The previous prime is 77048003. The next prime is 77048039. The reversal of 77048010 is 1084077.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 284175 + ... + 284445.

It is an arithmetic number, because the mean of its divisors is an integer number (1756440).

Almost surely, 2^77048010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77048010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112412160).

77048010 is an abundant number, since it is smaller than the sum of its proper divisors (147776310).

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

77048010 is a wasteful number, since it uses less digits than its factorization.

77048010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 77048010 is about 8777.6995847431. The cubic root of 77048010 is about 425.5204880306.

The spelling of 77048010 in words is "seventy-seven million, forty-eight thousand, ten".