77151040 has 56 divisors (see below), whose sum is σ = 187223400. Its totient is φ = 30271488.

The previous prime is 77150989. The next prime is 77151047. The reversal of 77151040 is 4015177.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 55472704 = 4656^2 + 7448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77150996 and 77151014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77151047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14686 + ... + 19234.

It is an arithmetic number, because the mean of its divisors is an integer number (3343275).

Almost surely, 2^77151040 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 77151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93611700).

77151040 is an abundant number, since it is smaller than the sum of its proper divisors (110072360).

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

77151040 is a wasteful number, since it uses less digits than its factorization.

77151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 77151040 is about 8783.5664738192. The cubic root of 77151040 is about 425.7100747941.

The spelling of 77151040 in words is "seventy-seven million, one hundred fifty-one thousand, forty".