77451840 has 84 divisors (see below), whose sum is σ = 266411964. Its totient is φ = 20653056.

The previous prime is 77451827. The next prime is 77451853. The reversal of 77451840 is 4815477.

It is an interprime number because it is at equal distance from previous prime (77451827) and next prime (77451853).

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 22810176 = 7392^2 + 4776^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 77451795 and 77451804.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10567 + ... + 16326.

It is an arithmetic number, because the mean of its divisors is an integer number (3171571).

Almost surely, 2^77451840 is an apocalyptic number.

It is an amenable number.

77451840 is an abundant number, since it is smaller than the sum of its proper divisors (188960124).

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

77451840 is a wasteful number, since it uses less digits than its factorization.

77451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26916 (or 26903 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 77451840 is about 8800.6727015609. The cubic root of 77451840 is about 426.2626166204.

The spelling of 77451840 in words is "seventy-seven million, four hundred fifty-one thousand, eight hundred forty".