77506065000 has 960 divisors, whose sum is σ = 335273178240. Its totient is φ = 16329600000.

The previous prime is 77506064959. The next prime is 77506065029. The reversal of 77506065000 is 56060577.

It is a super-2 number, since 2×77506065000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 110564650 + ... + 110565350.

It is an arithmetic number, because the mean of its divisors is an integer number (349242894).

Almost surely, 2^77506065000 is an apocalyptic number.

77506065000 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 77506065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167636589120).

77506065000 is an abundant number, since it is smaller than the sum of its proper divisors (257767113240).

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

77506065000 is a wasteful number, since it uses less digits than its factorization.

77506065000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 77506065000 in words is "seventy-seven billion, five hundred six million, sixty-five thousand".