78096997440 has 672 divisors, whose sum is σ = 339019140096. Its totient is φ = 16028651520.

The previous prime is 78096997393. The next prime is 78096997469. The reversal of 78096997440 is 4479969087.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18403959 + ... + 18408201.

It is an arithmetic number, because the mean of its divisors is an integer number (504492768).

Almost surely, 2^78096997440 is an apocalyptic number.

78096997440 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 78096997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169509570048).

78096997440 is an abundant number, since it is smaller than the sum of its proper divisors (260922142656).

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

78096997440 is a wasteful number, since it uses less digits than its factorization.

78096997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 78096997440 in words is "seventy-eight billion, ninety-six million, nine hundred ninety-seven thousand, four hundred forty".