77856606300 has 144 divisors (see below), whose sum is σ = 249412286592. Its totient is φ = 18592569600.

The previous prime is 77856606287. The next prime is 77856606313. The reversal of 77856606300 is 360665877.

It is an interprime number because it is at equal distance from previous prime (77856606287) and next prime (77856606313).

It is a super-2 number, since 2×77856606300² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77856606300.

It is a congruent number.

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, 45034 + ... + 397166.

It is an arithmetic number, because the mean of its divisors is an integer number (1732029768).

Almost surely, 2^77856606300 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 77856606300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124706143296).

77856606300 is an abundant number, since it is smaller than the sum of its proper divisors (171555680292).

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

77856606300 is a wasteful number, since it uses less digits than its factorization.

77856606300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352228 (or 352221 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 77856606300 in words is "seventy-seven billion, eight hundred fifty-six million, six hundred six thousand, three hundred".