77321657 has 24 divisors (see below), whose sum is σ = 93899520. Its totient is φ = 63413280.

The previous prime is 77321641. The next prime is 77321677. The reversal of 77321657 is 75612377.

It is not a de Polignac number, because 77321657 - 2⁴ = 77321641 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77321657.

It is not an unprimeable number, because it can be changed into a prime (77321677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165338 + ... + 165804.

It is an arithmetic number, because the mean of its divisors is an integer number (3912480).

Almost surely, 2^77321657 is an apocalyptic number.

It is an amenable number.

77321657 is a deficient number, since it is larger than the sum of its proper divisors (16577863).

77321657 is a wasteful number, since it uses less digits than its factorization.

77321657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 614 counting only the distinct ones).

The product of its digits is 61740, while the sum is 38.

The square root of 77321657 is about 8793.2733950446. The cubic root of 77321657 is about 426.0236583803.

The spelling of 77321657 in words is "seventy-seven million, three hundred twenty-one thousand, six hundred fifty-seven".