77036960 has 288 divisors, whose sum is σ = 252346752. Its totient is φ = 21565440.

The previous prime is 77036957. The next prime is 77036969. The reversal of 77036960 is 6963077.

It is not an unprimeable number, because it can be changed into a prime (77036969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2082062 + ... + 2082098.

It is an arithmetic number, because the mean of its divisors is an integer number (876204).

Almost surely, 2^77036960 is an apocalyptic number.

77036960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126173376).

77036960 is an abundant number, since it is smaller than the sum of its proper divisors (175309792).

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

77036960 is a wasteful number, since it uses less digits than its factorization.

77036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 77036960 is about 8777.0701261868. The cubic root of 77036960 is about 425.5001447572.

The spelling of 77036960 in words is "seventy-seven million, thirty-six thousand, nine hundred sixty".