77276437240100 has 144 divisors (see below), whose sum is σ = 195378196328448. Its totient is φ = 25982293138560.

The previous prime is 77276437240099. The next prime is 77276437240129. The reversal of 77276437240100 is 104273467277.

It is a super-2 number, since 2×77276437240100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6764339 + ... + 14153061.

Almost surely, 2^{77276437240100} is an apocalyptic number.

77276437240100 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 77276437240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97689098164224).

77276437240100 is an abundant number, since it is smaller than the sum of its proper divisors (118101759088348).

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

77276437240100 is a wasteful number, since it uses less digits than its factorization.

77276437240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389034 (or 7389027 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 50.

The spelling of 77276437240100 in words is "seventy-seven trillion, two hundred seventy-six billion, four hundred thirty-seven million, two hundred forty thousand, one hundred".