77612249088 has 208 divisors, whose sum is σ = 250841184000. Its totient is φ = 23518494720.

The previous prime is 77612249083. The next prime is 77612249093. The reversal of 77612249088 is 88094221677.

It is a happy number.

77612249088 is a `hidden beast` number, since 7 + 76 + 1 + 2 + 2 + 490 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (77612249083) and next prime (77612249093).

It is a super-2 number, since 2×77612249088² (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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77612249083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184613 + ... + 1248411.

Almost surely, 2^77612249088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77612249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125420592000).

77612249088 is an abundant number, since it is smaller than the sum of its proper divisors (173228934912).

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

77612249088 is a wasteful number, since it uses less digits than its factorization.

77612249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63843 (or 63815 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 77612249088 in words is "seventy-seven billion, six hundred twelve million, two hundred forty-nine thousand, eighty-eight".