77470858080 has 1152 divisors, whose sum is σ = 348652200960. Its totient is φ = 15931883520.

The previous prime is 77470858061. The next prime is 77470858081. The reversal of 77470858080 is 8085807477.

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 (77470858081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 798668592 + ... + 798668688.

It is an arithmetic number, because the mean of its divisors is an integer number (302649480).

Almost surely, 2^77470858080 is an apocalyptic number.

77470858080 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 77470858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174326100480).

77470858080 is an abundant number, since it is smaller than the sum of its proper divisors (271181342880).

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

77470858080 is an equidigital number, since it uses as much as digits as its factorization.

77470858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 77470858080 in words is "seventy-seven billion, four hundred seventy million, eight hundred fifty-eight thousand, eighty".