77200968 has 32 divisors (see below), whose sum is σ = 207849600. Its totient is φ = 23754048.

The previous prime is 77200967. The next prime is 77200973. The reversal of 77200968 is 86900277.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (77200967) 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, 123408 + ... + 124031.

It is an arithmetic number, because the mean of its divisors is an integer number (6495300).

Almost surely, 2^77200968 is an apocalyptic number.

77200968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77200968 is an abundant number, since it is smaller than the sum of its proper divisors (130648632).

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

77200968 is a wasteful number, since it uses less digits than its factorization.

77200968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247461 (or 247457 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 77200968 is about 8786.4081398487. The cubic root of 77200968 is about 425.8018872063.

The spelling of 77200968 in words is "seventy-seven million, two hundred thousand, nine hundred sixty-eight".