77006957 has 8 divisors (see below), whose sum is σ = 81626616. Its totient is φ = 72397312.

The previous prime is 77006927. The next prime is 77006987. The reversal of 77006957 is 75960077.

It is an interprime number because it is at equal distance from previous prime (77006927) and next prime (77006987).

It can be written as a sum of positive squares in 4 ways, for example, as 3407716 + 73599241 = 1846^2 + 8579^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77006957 - 2⁸ = 77006701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77006927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18383 + ... + 22179.

It is an arithmetic number, because the mean of its divisors is an integer number (10203327).

Almost surely, 2^77006957 is an apocalyptic number.

It is an amenable number.

77006957 is a deficient number, since it is larger than the sum of its proper divisors (4619659).

77006957 is a wasteful number, since it uses less digits than its factorization.

77006957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007.

The product of its (nonzero) digits is 92610, while the sum is 41.

The square root of 77006957 is about 8775.3607903037. The cubic root of 77006957 is about 425.4448988141. Note that the first 3 decimals are identical.

The spelling of 77006957 in words is "seventy-seven million, six thousand, nine hundred fifty-seven".