77903657440 has 144 divisors (see below), whose sum is σ = 214231878000. Its totient is φ = 26692872192.

The previous prime is 77903657431. The next prime is 77903657459. The reversal of 77903657440 is 4475630977.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23902531 + ... + 23905789.

It is an arithmetic number, because the mean of its divisors is an integer number (1487721375).

Almost surely, 2^77903657440 is an apocalyptic number.

77903657440 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 77903657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107115939000).

77903657440 is an abundant number, since it is smaller than the sum of its proper divisors (136328220560).

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

77903657440 is a wasteful number, since it uses less digits than its factorization.

77903657440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 77903657440 in words is "seventy-seven billion, nine hundred three million, six hundred fifty-seven thousand, four hundred forty".