78290150400 has 1056 divisors, whose sum is σ = 358689423360. Its totient is φ = 16257024000.

The previous prime is 78290150377. The next prime is 78290150431. The reversal of 78290150400 is 405109287.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×78290150400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 53221665 + ... + 53223135.

Almost surely, 2^78290150400 is an apocalyptic number.

78290150400 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 78290150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179344711680).

78290150400 is an abundant number, since it is smaller than the sum of its proper divisors (280399272960).

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

78290150400 is a wasteful number, since it uses less digits than its factorization.

78290150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 78290150400 its reverse (405109287), we get a palindrome (78695259687).

The spelling of 78290150400 in words is "seventy-eight billion, two hundred ninety million, one hundred fifty thousand, four hundred".