77208516000 has 1728 divisors, whose sum is σ = 364943045376. Its totient is φ = 15257088000.

The previous prime is 77208515971. The next prime is 77208516031. The reversal of 77208516000 is 61580277.

It is a super-2 number, since 2×77208516000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 446291914 + ... + 446292086.

It is an arithmetic number, because the mean of its divisors is an integer number (211193892).

Almost surely, 2^77208516000 is an apocalyptic number.

77208516000 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 77208516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182471522688).

77208516000 is an abundant number, since it is smaller than the sum of its proper divisors (287734529376).

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

77208516000 is a wasteful number, since it uses less digits than its factorization.

77208516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 77208516000 in words is "seventy-seven billion, two hundred eight million, five hundred sixteen thousand".