77953968 has 80 divisors (see below), whose sum is σ = 229851360. Its totient is φ = 25277184.

The previous prime is 77953957. The next prime is 77953991. The reversal of 77953968 is 86935977.

It is a super-2 number, since 2×77953968² = 12153642253890048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13546 + ... + 18422.

It is an arithmetic number, because the mean of its divisors is an integer number (2873142).

Almost surely, 2^77953968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77953968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114925680).

77953968 is an abundant number, since it is smaller than the sum of its proper divisors (151897392).

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

77953968 is a wasteful number, since it uses less digits than its factorization.

77953968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4919 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 77953968 is about 8829.1544329001. The cubic root of 77953968 is about 427.1818007649.

Subtracting 77953968 from its reverse (86935977), we obtain a square (8982009 = 2997²).

The spelling of 77953968 in words is "seventy-seven million, nine hundred fifty-three thousand, nine hundred sixty-eight".