77914630500 has 288 divisors, whose sum is σ = 264721242240. Its totient is φ = 17755718400.

The previous prime is 77914630477. The next prime is 77914630517. The reversal of 77914630500 is 503641977.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27855102 + ... + 27857898.

It is an arithmetic number, because the mean of its divisors is an integer number (919170980).

Almost surely, 2^77914630500 is an apocalyptic number.

77914630500 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 77914630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132360621120).

77914630500 is an abundant number, since it is smaller than the sum of its proper divisors (186806611740).

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

77914630500 is a wasteful number, since it uses less digits than its factorization.

77914630500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 77914630500 in words is "seventy-seven billion, nine hundred fourteen million, six hundred thirty thousand, five hundred".