77210312025 has 96 divisors (see below), whose sum is σ = 159343515648. Its totient is φ = 32049100800.

The previous prime is 77210311963. The next prime is 77210312029. The reversal of 77210312025 is 52021301277.

It is not a de Polignac number, because 77210312025 - 2⁷ = 77210311897 is a prime.

It is a super-2 number, since 2×77210312025² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77210311983 and 77210312001.

It is not an unprimeable number, because it can be changed into a prime (77210312029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5114889 + ... + 5129961.

It is an arithmetic number, because the mean of its divisors is an integer number (1659828288).

Almost surely, 2^77210312025 is an apocalyptic number.

77210312025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77210312025 is an abundant number, since it is smaller than the sum of its proper divisors (82133203623).

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

77210312025 is a wasteful number, since it uses less digits than its factorization.

77210312025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15991 (or 15986 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 77210312025 in words is "seventy-seven billion, two hundred ten million, three hundred twelve thousand, twenty-five".