77096460 has 144 divisors (see below), whose sum is σ = 258644736. Its totient is φ = 16807296.

The previous prime is 77096449. The next prime is 77096491. The reversal of 77096460 is 6469077.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222007 + ... + 222353.

It is an arithmetic number, because the mean of its divisors is an integer number (1796144).

Almost surely, 2^77096460 is an apocalyptic number.

77096460 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 77096460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129322368).

77096460 is an abundant number, since it is smaller than the sum of its proper divisors (181548276).

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

77096460 is a wasteful number, since it uses less digits than its factorization.

77096460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 77096460 is about 8780.4589857251. The cubic root of 77096460 is about 425.6096625065.

The spelling of 77096460 in words is "seventy-seven million, ninety-six thousand, four hundred sixty".