78461600 has 72 divisors (see below), whose sum is σ = 218923488. Its totient is φ = 26899200.

The previous prime is 78461573. The next prime is 78461611. The reversal of 78461600 is 616487.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1406 + ... + 12605.

It is an arithmetic number, because the mean of its divisors is an integer number (3040604).

Almost surely, 2^78461600 is an apocalyptic number.

78461600 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 78461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109461744).

78461600 is an abundant number, since it is smaller than the sum of its proper divisors (140461888).

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

78461600 is a wasteful number, since it uses less digits than its factorization.

78461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14038 (or 14025 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 78461600 is about 8857.8552708881. The cubic root of 78461600 is about 428.1070568074.

The spelling of 78461600 in words is "seventy-eight million, four hundred sixty-one thousand, six hundred".