78311654400 has 1056 divisors, whose sum is σ = 316062564352. Its totient is φ = 16721510400.

The previous prime is 78311654387. The next prime is 78311654413. The reversal of 78311654400 is 445611387.

It is an interprime number because it is at equal distance from previous prime (78311654387) and next prime (78311654413).

It is a super-2 number, since 2×78311654400² (a number of 23 digits) contains 22 as substring.

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, 616627137 + ... + 616627263.

Almost surely, 2^78311654400 is an apocalyptic number.

78311654400 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 78311654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158031282176).

78311654400 is an abundant number, since it is smaller than the sum of its proper divisors (237750909952).

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

78311654400 is a wasteful number, since it uses less digits than its factorization.

78311654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 78311654400 in words is "seventy-eight billion, three hundred eleven million, six hundred fifty-four thousand, four hundred".