77359386312 has 576 divisors, whose sum is σ = 262584504000. Its totient is φ = 21223627776.

The previous prime is 77359386289. The next prime is 77359386347. The reversal of 77359386312 is 21368395377.

It is a super-2 number, since 2×77359386312² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (5715360) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4071546639 + ... + 4071546657.

It is an arithmetic number, because the mean of its divisors is an integer number (455875875).

Almost surely, 2^77359386312 is an apocalyptic number.

77359386312 is a gapful number since it is divisible by the number (72) 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 77359386312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131292252000).

77359386312 is an abundant number, since it is smaller than the sum of its proper divisors (185225117688).

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

77359386312 is a wasteful number, since it uses less digits than its factorization.

77359386312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 77359386312 in words is "seventy-seven billion, three hundred fifty-nine million, three hundred eighty-six thousand, three hundred twelve".