77034993 has 16 divisors (see below), whose sum is σ = 117576576. Its totient is φ = 43948800.

The previous prime is 77034989. The next prime is 77035003. The reversal of 77034993 is 39943077.

It is not a de Polignac number, because 77034993 - 2² = 77034989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77034193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12105 + ... + 17337.

It is an arithmetic number, because the mean of its divisors is an integer number (7348536).

Almost surely, 2^77034993 is an apocalyptic number.

It is an amenable number.

77034993 is a deficient number, since it is larger than the sum of its proper divisors (40541583).

77034993 is a wasteful number, since it uses less digits than its factorization.

77034993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944.

The product of its (nonzero) digits is 142884, while the sum is 42.

The square root of 77034993 is about 8776.9580721341. The cubic root of 77034993 is about 425.4965232665.

The spelling of 77034993 in words is "seventy-seven million, thirty-four thousand, nine hundred ninety-three".